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Finding the Fourth Proportional to 773.67, 1,159.69 and 449.13

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Solution

The fourth proportional to 773.67, 1,159.69 and 449.13 is: 673.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.67 : 1,159.69 = 449.13 : x
  2. Step 2: Convert to fraction form
    773.67/1,159.69 = 449.13/x
  3. Step 3: Cross multiply
    773.67x = 1,159.69 × 449.13
  4. Step 4: Simplify right side
    773.67x = 520,851.57
  5. Step 5: Solve for x
    x = 520,851.57/773.67
  6. Step 6: Final answer
    x = 673.22

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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.