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Finding the Fourth Proportional to 725.16, 1,001.22 and 473.52

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Solution

The fourth proportional to 725.16, 1,001.22 and 473.52 is: 653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.16 : 1,001.22 = 473.52 : x
  2. Step 2: Convert to fraction form
    725.16/1,001.22 = 473.52/x
  3. Step 3: Cross multiply
    725.16x = 1,001.22 × 473.52
  4. Step 4: Simplify right side
    725.16x = 474,097.69
  5. Step 5: Solve for x
    x = 474,097.69/725.16
  6. Step 6: Final answer
    x = 653.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.