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Finding the Fourth Proportional to 767.38, 1,151.12 and 219.60

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Solution

The fourth proportional to 767.38, 1,151.12 and 219.60 is: 329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.38 : 1,151.12 = 219.60 : x
  2. Step 2: Convert to fraction form
    767.38/1,151.12 = 219.60/x
  3. Step 3: Cross multiply
    767.38x = 1,151.12 × 219.60
  4. Step 4: Simplify right side
    767.38x = 252,785.95
  5. Step 5: Solve for x
    x = 252,785.95/767.38
  6. Step 6: Final answer
    x = 329.41

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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.