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Important Notes on Ratio and Proportion.

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  • Any two quantities with the same units can be compared.
  • Two ratios are said to be in proportion only if they are equal.
  • To check whether two ratios are equal and are in proportion, we can also use the cross-product method.
  • If we multiply and divide each term of a ratio by the same number, the ratio remains the same.
  • For any three quantities, if the ratio between the first and the second is equal to the ratio between the second and the third, then these are said to be in a continued proportion.
  • Similarly, in the case of any four quantities in a continued proportion, the ratio between the first and the second is equal to the ratio between the third and the fourth.

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