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Finding the Fourth Proportional to 674.18, 1,008.86 and 489.30

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Solution

The fourth proportional to 674.18, 1,008.86 and 489.30 is: 732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.18 : 1,008.86 = 489.30 : x
  2. Step 2: Convert to fraction form
    674.18/1,008.86 = 489.30/x
  3. Step 3: Cross multiply
    674.18x = 1,008.86 × 489.30
  4. Step 4: Simplify right side
    674.18x = 493,635.20
  5. Step 5: Solve for x
    x = 493,635.20/674.18
  6. Step 6: Final answer
    x = 732.20

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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.