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Finding the Fourth Proportional to 725.46, 1,000.90 and 410.68

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Solution

The fourth proportional to 725.46, 1,000.90 and 410.68 is: 566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.46 : 1,000.90 = 410.68 : x
  2. Step 2: Convert to fraction form
    725.46/1,000.90 = 410.68/x
  3. Step 3: Cross multiply
    725.46x = 1,000.90 × 410.68
  4. Step 4: Simplify right side
    725.46x = 411,049.61
  5. Step 5: Solve for x
    x = 411,049.61/725.46
  6. Step 6: Final answer
    x = 566.61

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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.