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Finding the Fourth Proportional to 724.28, 998.86 and 614.04

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Solution

The fourth proportional to 724.28, 998.86 and 614.04 is: 846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.28 : 998.86 = 614.04 : x
  2. Step 2: Convert to fraction form
    724.28/998.86 = 614.04/x
  3. Step 3: Cross multiply
    724.28x = 998.86 × 614.04
  4. Step 4: Simplify right side
    724.28x = 613,339.99
  5. Step 5: Solve for x
    x = 613,339.99/724.28
  6. Step 6: Final answer
    x = 846.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.