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Finding the Fourth Proportional to 721.19, 1,082.31 and 489.53

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Solution

The fourth proportional to 721.19, 1,082.31 and 489.53 is: 734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.19 : 1,082.31 = 489.53 : x
  2. Step 2: Convert to fraction form
    721.19/1,082.31 = 489.53/x
  3. Step 3: Cross multiply
    721.19x = 1,082.31 × 489.53
  4. Step 4: Simplify right side
    721.19x = 529,823.21
  5. Step 5: Solve for x
    x = 529,823.21/721.19
  6. Step 6: Final answer
    x = 734.65

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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.