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Finding the Fourth Proportional to 766.40, 1,149.60 and 459.20

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Solution

The fourth proportional to 766.40, 1,149.60 and 459.20 is: 688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.40 : 1,149.60 = 459.20 : x
  2. Step 2: Convert to fraction form
    766.40/1,149.60 = 459.20/x
  3. Step 3: Cross multiply
    766.40x = 1,149.60 × 459.20
  4. Step 4: Simplify right side
    766.40x = 527,896.32
  5. Step 5: Solve for x
    x = 527,896.32/766.40
  6. Step 6: Final answer
    x = 688.80

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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.