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Finding the Fourth Proportional to 725.10, 1,000.17 and 414.60

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Solution

The fourth proportional to 725.10, 1,000.17 and 414.60 is: 571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.10 : 1,000.17 = 414.60 : x
  2. Step 2: Convert to fraction form
    725.10/1,000.17 = 414.60/x
  3. Step 3: Cross multiply
    725.10x = 1,000.17 × 414.60
  4. Step 4: Simplify right side
    725.10x = 414,670.48
  5. Step 5: Solve for x
    x = 414,670.48/725.10
  6. Step 6: Final answer
    x = 571.88

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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.