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Finding the Fourth Proportional to 724.16, 999.52 and 689.44

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Solution

The fourth proportional to 724.16, 999.52 and 689.44 is: 951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.16 : 999.52 = 689.44 : x
  2. Step 2: Convert to fraction form
    724.16/999.52 = 689.44/x
  3. Step 3: Cross multiply
    724.16x = 999.52 × 689.44
  4. Step 4: Simplify right side
    724.16x = 689,109.07
  5. Step 5: Solve for x
    x = 689,109.07/724.16
  6. Step 6: Final answer
    x = 951.60

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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.