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Finding the Fourth Proportional to 724.65, 1,000.07 and 409.92

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Solution

The fourth proportional to 724.65, 1,000.07 and 409.92 is: 565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.65 : 1,000.07 = 409.92 : x
  2. Step 2: Convert to fraction form
    724.65/1,000.07 = 409.92/x
  3. Step 3: Cross multiply
    724.65x = 1,000.07 × 409.92
  4. Step 4: Simplify right side
    724.65x = 409,946.64
  5. Step 5: Solve for x
    x = 409,946.64/724.65
  6. Step 6: Final answer
    x = 565.72

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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.