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Finding the Fourth Proportional to 773.53, 1,160.24 and 225.69

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Solution

The fourth proportional to 773.53, 1,160.24 and 225.69 is: 338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.53 : 1,160.24 = 225.69 : x
  2. Step 2: Convert to fraction form
    773.53/1,160.24 = 225.69/x
  3. Step 3: Cross multiply
    773.53x = 1,160.24 × 225.69
  4. Step 4: Simplify right side
    773.53x = 261,850.36
  5. Step 5: Solve for x
    x = 261,850.36/773.53
  6. Step 6: Final answer
    x = 338.51

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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.