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Question

Find the number which bears the same ratio to 733 that 821 does to 49.

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Solution

we have that, the ratio of 8/21 to 4/9 is:
 \frac{8}{21}: \frac{4}{9} = \frac{8}{21} \times \frac{9}{4}= \frac{6}{7} ;

let the requidered number be n.
we have that the ratio of n to 7/33 to be:
 \frac{n}{ \frac{7}{33} }= \frac{6}{7}

then
 \frac{33}{7}n= \frac{6}{7}  ;
33n=6;
n= \frac{6}{33} = \frac{2}{11}


The number is  \frac{2}{11}

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