SOLUTION: Please show step by step in solving proportion problems 1/8 : 2/3 : : 75 : x

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Question 923507: Please show step by step in solving proportion problems 1/8 : 2/3 : : 75 : x
Found 2 solutions by srinivas.g, MathTherapy:
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
1/8:2/3:: 75:x = %281%2F8%29%2F%282%2F3%29+=75%2Fx
move x to the left
%281%2F8%29%2F%282%2F3%29%2Ax+=75%2F1
move 2/3 to the right
%281%2F8%29%2Ax+=75%2F1%2A%282%2F3%29
%281%2F8%29%2Ax+=25%2F1%2A%282%2F1%29
%281%2F8%29%2Ax+=25%2A2
x%2F8+=50
move 8 to the right
x+=50%2A8
x=400
result is 400

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Please show step by step in solving proportion problems 1/8 : 2/3 : : 75 : x

%281%2F8%29%2F%282%2F3%29+=+75%2Fx
%281%2F8%29+%2A+x+=+%282%2F3%29+%2A+75 ------ Cross-multiplying
x%2F8+=+50
x+=+8%2850%29 -------- Cross-multiplying
highlight_green%28x+=+400%29