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Finding the Fourth Proportional to 767.46, 1,151.06 and 219.68

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Solution

The fourth proportional to 767.46, 1,151.06 and 219.68 is: 329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.46 : 1,151.06 = 219.68 : x
  2. Step 2: Convert to fraction form
    767.46/1,151.06 = 219.68/x
  3. Step 3: Cross multiply
    767.46x = 1,151.06 × 219.68
  4. Step 4: Simplify right side
    767.46x = 252,864.86
  5. Step 5: Solve for x
    x = 252,864.86/767.46
  6. Step 6: Final answer
    x = 329.48

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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.