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Finding the Fourth Proportional to 767.64, 1,151.42 and 219.82

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Solution

The fourth proportional to 767.64, 1,151.42 and 219.82 is: 329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.64 : 1,151.42 = 219.82 : x
  2. Step 2: Convert to fraction form
    767.64/1,151.42 = 219.82/x
  3. Step 3: Cross multiply
    767.64x = 1,151.42 × 219.82
  4. Step 4: Simplify right side
    767.64x = 253,105.14
  5. Step 5: Solve for x
    x = 253,105.14/767.64
  6. Step 6: Final answer
    x = 329.72

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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.