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Finding the Fourth Proportional to 773.52, 1,160.39 and 225.73

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Solution

The fourth proportional to 773.52, 1,160.39 and 225.73 is: 338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.52 : 1,160.39 = 225.73 : x
  2. Step 2: Convert to fraction form
    773.52/1,160.39 = 225.73/x
  3. Step 3: Cross multiply
    773.52x = 1,160.39 × 225.73
  4. Step 4: Simplify right side
    773.52x = 261,934.83
  5. Step 5: Solve for x
    x = 261,934.83/773.52
  6. Step 6: Final answer
    x = 338.63

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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.