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Finding the Fourth Proportional to 724.93, 999.68 and 488.61

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Solution

The fourth proportional to 724.93, 999.68 and 488.61 is: 673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.93 : 999.68 = 488.61 : x
  2. Step 2: Convert to fraction form
    724.93/999.68 = 488.61/x
  3. Step 3: Cross multiply
    724.93x = 999.68 × 488.61
  4. Step 4: Simplify right side
    724.93x = 488,451.20
  5. Step 5: Solve for x
    x = 488,451.20/724.93
  6. Step 6: Final answer
    x = 673.79

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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.