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Finding the Fourth Proportional to 767.66, 1,149.27 and 688.52

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Solution

The fourth proportional to 767.66, 1,149.27 and 688.52 is: 1,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.66 : 1,149.27 = 688.52 : x
  2. Step 2: Convert to fraction form
    767.66/1,149.27 = 688.52/x
  3. Step 3: Cross multiply
    767.66x = 1,149.27 × 688.52
  4. Step 4: Simplify right side
    767.66x = 791,295.38
  5. Step 5: Solve for x
    x = 791,295.38/767.66
  6. Step 6: Final answer
    x = 1,030.79

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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.