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Finding the Fourth Proportional to 725.85, 1,002.41 and 477.35

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Solution

The fourth proportional to 725.85, 1,002.41 and 477.35 is: 659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.85 : 1,002.41 = 477.35 : x
  2. Step 2: Convert to fraction form
    725.85/1,002.41 = 477.35/x
  3. Step 3: Cross multiply
    725.85x = 1,002.41 × 477.35
  4. Step 4: Simplify right side
    725.85x = 478,500.41
  5. Step 5: Solve for x
    x = 478,500.41/725.85
  6. Step 6: Final answer
    x = 659.23

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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.