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Finding the Fourth Proportional to 767.39, 1,151.12 and 219.61

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Solution

The fourth proportional to 767.39, 1,151.12 and 219.61 is: 329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.39 : 1,151.12 = 219.61 : x
  2. Step 2: Convert to fraction form
    767.39/1,151.12 = 219.61/x
  3. Step 3: Cross multiply
    767.39x = 1,151.12 × 219.61
  4. Step 4: Simplify right side
    767.39x = 252,795.13
  5. Step 5: Solve for x
    x = 252,795.13/767.39
  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.