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Finding the Fourth Proportional to 725.75, 1,001.17 and 459.74

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Solution

The fourth proportional to 725.75, 1,001.17 and 459.74 is: 634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.75 : 1,001.17 = 459.74 : x
  2. Step 2: Convert to fraction form
    725.75/1,001.17 = 459.74/x
  3. Step 3: Cross multiply
    725.75x = 1,001.17 × 459.74
  4. Step 4: Simplify right side
    725.75x = 460,277.90
  5. Step 5: Solve for x
    x = 460,277.90/725.75
  6. Step 6: Final answer
    x = 634.21

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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.