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Finding the Fourth Proportional to 766.89, 1,149.69 and 656.76

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Solution

The fourth proportional to 766.89, 1,149.69 and 656.76 is: 984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.89 : 1,149.69 = 656.76 : x
  2. Step 2: Convert to fraction form
    766.89/1,149.69 = 656.76/x
  3. Step 3: Cross multiply
    766.89x = 1,149.69 × 656.76
  4. Step 4: Simplify right side
    766.89x = 755,070.40
  5. Step 5: Solve for x
    x = 755,070.40/766.89
  6. Step 6: Final answer
    x = 984.59

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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.