SOLUTION: I need help with solving the following ratio question: I know the answer but do not know how to get the answer 5/9 3/4:x=9/10:2/3

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Question 885273: I need help with solving the following ratio question: I know the answer but do not know how to get the answer 5/9
3/4:x=9/10:2/3
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can write it like this:
+%28+3%2F4+%29+%2F+x+=+%28+9%2F10+%29+%2F+%28+2%2F3+%29+
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The denominators are +x+ and +2%2F3+,
so multiply both sides by +%28+2%2F3%29%2Ax+
+%28+2%2F3+%29%2A%28+3%2F4+%29+=+%28+9%2F10+%29%2Ax+
+6%2F12+=+%28+9x+%29%2F10+
Multiply both sides by +60+
+5%2A6+=+6%2A9%2Ax+
+30+=+54x+
+x+=+30%2F54+
+x+=+%28+6%2A5+%29+%2F+%28+6%2A9+%29+
+x+=+5%2F9+