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Finding the Fourth Proportional to 767.57, 1,151.19 and 219.65

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Solution

The fourth proportional to 767.57, 1,151.19 and 219.65 is: 329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.57 : 1,151.19 = 219.65 : x
  2. Step 2: Convert to fraction form
    767.57/1,151.19 = 219.65/x
  3. Step 3: Cross multiply
    767.57x = 1,151.19 × 219.65
  4. Step 4: Simplify right side
    767.57x = 252,853.13
  5. Step 5: Solve for x
    x = 252,853.13/767.57
  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.