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Finding the Fourth Proportional to 725.96, 1,002.05 and 463.97

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Solution

The fourth proportional to 725.96, 1,002.05 and 463.97 is: 640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.96 : 1,002.05 = 463.97 : x
  2. Step 2: Convert to fraction form
    725.96/1,002.05 = 463.97/x
  3. Step 3: Cross multiply
    725.96x = 1,002.05 × 463.97
  4. Step 4: Simplify right side
    725.96x = 464,921.32
  5. Step 5: Solve for x
    x = 464,921.32/725.96
  6. Step 6: Final answer
    x = 640.43

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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.