Question #782b1 Algebra Linear Equations Equations with Ratios and Proportions 1 Answer Jam · Stefan V. Oct 28, 2017 Answer: #1/2 : 2/3 = 3/4 : 1# #x = 3/4# Explanation: To work out the value of #x#, we just need to figure out how to get from #2/3# to #1#, and do the same thing with the #1/2#. To get from #2/3# to #1#, we can multiply by #1.5#: #2/3 * 1.5 = 1# As we multiplied by #1.5# for #2/3#, we need to do the same thing with the #1/2#: #1/2 * 1.5 = 3/4# Therefore, #x = 3/4# and #1/2 : 2/3 = 3/4 : 1# Related questions What is the difference between proportions and ratios? What is the difference between ratios and rates? What are cross products? How do you write "12 meters to 4 floors" as a rate? How do you write and simplify "150 boys to 175 girls" as a ratio? How do you solve #\frac{6}{19} = \frac{x}{11}#? How do you solve #\frac{n+1}{11} = -2#? How do you solve #\frac{0.1}{1.01} = \frac{1.9}{x}#? How do you use proportions to solve how much money the restaurant made if it serves 250 people per ... How do you solve #x/4-7=13#? See all questions in Equations with Ratios and Proportions Impact of this question 428 views around the world You can reuse this answer Creative Commons License