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Finding the Fourth Proportional to 725.92, 1,002 and 464.64

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Solution

The fourth proportional to 725.92, 1,002 and 464.64 is: 641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.92 : 1,002 = 464.64 : x
  2. Step 2: Convert to fraction form
    725.92/1,002 = 464.64/x
  3. Step 3: Cross multiply
    725.92x = 1,002 × 464.64
  4. Step 4: Simplify right side
    725.92x = 465,569.28
  5. Step 5: Solve for x
    x = 465,569.28/725.92
  6. Step 6: Final answer
    x = 641.35

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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.