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Finding the Fourth Proportional to 778.28, 1,167.89 and 449.63

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Solution

The fourth proportional to 778.28, 1,167.89 and 449.63 is: 674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.28 : 1,167.89 = 449.63 : x
  2. Step 2: Convert to fraction form
    778.28/1,167.89 = 449.63/x
  3. Step 3: Cross multiply
    778.28x = 1,167.89 × 449.63
  4. Step 4: Simplify right side
    778.28x = 525,110.29
  5. Step 5: Solve for x
    x = 525,110.29/778.28
  6. Step 6: Final answer
    x = 674.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.