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Finding the Fourth Proportional to 773.84, 1,160.94 and 449.48

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Solution

The fourth proportional to 773.84, 1,160.94 and 449.48 is: 674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.84 : 1,160.94 = 449.48 : x
  2. Step 2: Convert to fraction form
    773.84/1,160.94 = 449.48/x
  3. Step 3: Cross multiply
    773.84x = 1,160.94 × 449.48
  4. Step 4: Simplify right side
    773.84x = 521,819.31
  5. Step 5: Solve for x
    x = 521,819.31/773.84
  6. Step 6: Final answer
    x = 674.32

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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.