Question #782b1 Algebra Linear Equations Equations with Ratios and Proportions 1 Answer Jam · Stefan V. Oct 28, 2017 #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# Answer link 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... How do you solve #x/4-7=13#? See all questions in Equations with Ratios and Proportions Impact of this question 530 views around the world You can reuse this answer Creative Commons License