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Finding the Fourth Proportional to 725.32, 1,001.02 and 410.68

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Solution

The fourth proportional to 725.32, 1,001.02 and 410.68 is: 566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.32 : 1,001.02 = 410.68 : x
  2. Step 2: Convert to fraction form
    725.32/1,001.02 = 410.68/x
  3. Step 3: Cross multiply
    725.32x = 1,001.02 × 410.68
  4. Step 4: Simplify right side
    725.32x = 411,098.89
  5. Step 5: Solve for x
    x = 411,098.89/725.32
  6. Step 6: Final answer
    x = 566.78

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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.