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Finding the Fourth Proportional to 725, 1,000.50 and 414.56

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Solution

The fourth proportional to 725, 1,000.50 and 414.56 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    725 : 1,000.50 = 414.56 : x
  2. Step 2: Convert to fraction form
    725/1,000.50 = 414.56/x
  3. Step 3: Cross multiply
    725x = 1,000.50 × 414.56
  4. Step 4: Simplify right side
    725x = 414,767.28
  5. Step 5: Solve for x
    x = 414,767.28/725
  6. Step 6: Final answer
    x = 572.09

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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.