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Finding the Fourth Proportional to 773.68, 1,160.24 and 225.70

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Solution

The fourth proportional to 773.68, 1,160.24 and 225.70 is: 338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.68 : 1,160.24 = 225.70 : x
  2. Step 2: Convert to fraction form
    773.68/1,160.24 = 225.70/x
  3. Step 3: Cross multiply
    773.68x = 1,160.24 × 225.70
  4. Step 4: Simplify right side
    773.68x = 261,866.17
  5. Step 5: Solve for x
    x = 261,866.17/773.68
  6. Step 6: Final answer
    x = 338.47

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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.