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Finding the Fourth Proportional to 767.47, 1,150.85 and 219.52

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Solution

The fourth proportional to 767.47, 1,150.85 and 219.52 is: 329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.47 : 1,150.85 = 219.52 : x
  2. Step 2: Convert to fraction form
    767.47/1,150.85 = 219.52/x
  3. Step 3: Cross multiply
    767.47x = 1,150.85 × 219.52
  4. Step 4: Simplify right side
    767.47x = 252,634.59
  5. Step 5: Solve for x
    x = 252,634.59/767.47
  6. Step 6: Final answer
    x = 329.18

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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.