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Finding the Fourth Proportional to 773.45, 1,160.17 and 449.04

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Solution

The fourth proportional to 773.45, 1,160.17 and 449.04 is: 673.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.45 : 1,160.17 = 449.04 : x
  2. Step 2: Convert to fraction form
    773.45/1,160.17 = 449.04/x
  3. Step 3: Cross multiply
    773.45x = 1,160.17 × 449.04
  4. Step 4: Simplify right side
    773.45x = 520,961.61
  5. Step 5: Solve for x
    x = 520,961.61/773.45
  6. Step 6: Final answer
    x = 673.56

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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.