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Finding the Fourth Proportional to 767.92, 1,151.57 and 329.14

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Solution

The fourth proportional to 767.92, 1,151.57 and 329.14 is: 493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.92 : 1,151.57 = 329.14 : x
  2. Step 2: Convert to fraction form
    767.92/1,151.57 = 329.14/x
  3. Step 3: Cross multiply
    767.92x = 1,151.57 × 329.14
  4. Step 4: Simplify right side
    767.92x = 379,027.75
  5. Step 5: Solve for x
    x = 379,027.75/767.92
  6. Step 6: Final answer
    x = 493.58

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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.