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Finding the Fourth Proportional to 725.30, 1,000.97 and 410.57

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Solution

The fourth proportional to 725.30, 1,000.97 and 410.57 is: 566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.30 : 1,000.97 = 410.57 : x
  2. Step 2: Convert to fraction form
    725.30/1,000.97 = 410.57/x
  3. Step 3: Cross multiply
    725.30x = 1,000.97 × 410.57
  4. Step 4: Simplify right side
    725.30x = 410,966.20
  5. Step 5: Solve for x
    x = 410,966.20/725.30
  6. Step 6: Final answer
    x = 566.62

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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.