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Finding the Fourth Proportional to 773.26, 1,160.06 and 447.96

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Solution

The fourth proportional to 773.26, 1,160.06 and 447.96 is: 672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.26 : 1,160.06 = 447.96 : x
  2. Step 2: Convert to fraction form
    773.26/1,160.06 = 447.96/x
  3. Step 3: Cross multiply
    773.26x = 1,160.06 × 447.96
  4. Step 4: Simplify right side
    773.26x = 519,660.48
  5. Step 5: Solve for x
    x = 519,660.48/773.26
  6. Step 6: Final answer
    x = 672.04

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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.