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Finding the Fourth Proportional to 725.52, 1,001.24 and 414.96

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Solution

The fourth proportional to 725.52, 1,001.24 and 414.96 is: 572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.52 : 1,001.24 = 414.96 : x
  2. Step 2: Convert to fraction form
    725.52/1,001.24 = 414.96/x
  3. Step 3: Cross multiply
    725.52x = 1,001.24 × 414.96
  4. Step 4: Simplify right side
    725.52x = 415,474.55
  5. Step 5: Solve for x
    x = 415,474.55/725.52
  6. Step 6: Final answer
    x = 572.66

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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.