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Finding the Fourth Proportional to 766.69, 1,149.41 and 656.58

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Solution

The fourth proportional to 766.69, 1,149.41 and 656.58 is: 984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.69 : 1,149.41 = 656.58 : x
  2. Step 2: Convert to fraction form
    766.69/1,149.41 = 656.58/x
  3. Step 3: Cross multiply
    766.69x = 1,149.41 × 656.58
  4. Step 4: Simplify right side
    766.69x = 754,681.88
  5. Step 5: Solve for x
    x = 754,681.88/766.69
  6. Step 6: Final answer
    x = 984.33

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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.