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Finding the Fourth Proportional to 773.54, 1,160.19 and 225.57

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Solution

The fourth proportional to 773.54, 1,160.19 and 225.57 is: 338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.54 : 1,160.19 = 225.57 : x
  2. Step 2: Convert to fraction form
    773.54/1,160.19 = 225.57/x
  3. Step 3: Cross multiply
    773.54x = 1,160.19 × 225.57
  4. Step 4: Simplify right side
    773.54x = 261,704.06
  5. Step 5: Solve for x
    x = 261,704.06/773.54
  6. Step 6: Final answer
    x = 338.32

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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.