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Finding the Fourth Proportional to 724.70, 1,000.01 and 410.02

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Solution

The fourth proportional to 724.70, 1,000.01 and 410.02 is: 565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.70 : 1,000.01 = 410.02 : x
  2. Step 2: Convert to fraction form
    724.70/1,000.01 = 410.02/x
  3. Step 3: Cross multiply
    724.70x = 1,000.01 × 410.02
  4. Step 4: Simplify right side
    724.70x = 410,022.63
  5. Step 5: Solve for x
    x = 410,022.63/724.70
  6. Step 6: Final answer
    x = 565.78

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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.