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Finding the Fourth Proportional to 767.34, 1,151.22 and 219.57

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Solution

The fourth proportional to 767.34, 1,151.22 and 219.57 is: 329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.34 : 1,151.22 = 219.57 : x
  2. Step 2: Convert to fraction form
    767.34/1,151.22 = 219.57/x
  3. Step 3: Cross multiply
    767.34x = 1,151.22 × 219.57
  4. Step 4: Simplify right side
    767.34x = 252,773.38
  5. Step 5: Solve for x
    x = 252,773.38/767.34
  6. Step 6: Final answer
    x = 329.42

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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.