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Finding the Fourth Proportional to 724.10, 1,084.30 and 399.11

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Solution

The fourth proportional to 724.10, 1,084.30 and 399.11 is: 597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.10 : 1,084.30 = 399.11 : x
  2. Step 2: Convert to fraction form
    724.10/1,084.30 = 399.11/x
  3. Step 3: Cross multiply
    724.10x = 1,084.30 × 399.11
  4. Step 4: Simplify right side
    724.10x = 432,754.97
  5. Step 5: Solve for x
    x = 432,754.97/724.10
  6. Step 6: Final answer
    x = 597.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.