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Finding the Fourth Proportional to 767.71, 1,151.41 and 247.76

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Solution

The fourth proportional to 767.71, 1,151.41 and 247.76 is: 371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.71 : 1,151.41 = 247.76 : x
  2. Step 2: Convert to fraction form
    767.71/1,151.41 = 247.76/x
  3. Step 3: Cross multiply
    767.71x = 1,151.41 × 247.76
  4. Step 4: Simplify right side
    767.71x = 285,272.10
  5. Step 5: Solve for x
    x = 285,272.10/767.71
  6. Step 6: Final answer
    x = 371.59

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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.