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Finding the Fourth Proportional to 724.56, 1,000.02 and 409.98

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Solution

The fourth proportional to 724.56, 1,000.02 and 409.98 is: 565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.56 : 1,000.02 = 409.98 : x
  2. Step 2: Convert to fraction form
    724.56/1,000.02 = 409.98/x
  3. Step 3: Cross multiply
    724.56x = 1,000.02 × 409.98
  4. Step 4: Simplify right side
    724.56x = 409,988.20
  5. Step 5: Solve for x
    x = 409,988.20/724.56
  6. Step 6: Final answer
    x = 565.84

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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.