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Finding the Fourth Proportional to 725.55, 1,001.22 and 410.83

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Solution

The fourth proportional to 725.55, 1,001.22 and 410.83 is: 566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.55 : 1,001.22 = 410.83 : x
  2. Step 2: Convert to fraction form
    725.55/1,001.22 = 410.83/x
  3. Step 3: Cross multiply
    725.55x = 1,001.22 × 410.83
  4. Step 4: Simplify right side
    725.55x = 411,331.21
  5. Step 5: Solve for x
    x = 411,331.21/725.55
  6. Step 6: Final answer
    x = 566.92

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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.