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Finding the Fourth Proportional to 974.20, 1,459.24 and 767.80

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Solution

The fourth proportional to 974.20, 1,459.24 and 767.80 is: 1,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.20 : 1,459.24 = 767.80 : x
  2. Step 2: Convert to fraction form
    974.20/1,459.24 = 767.80/x
  3. Step 3: Cross multiply
    974.20x = 1,459.24 × 767.80
  4. Step 4: Simplify right side
    974.20x = 1,120,404.47
  5. Step 5: Solve for x
    x = 1,120,404.47/974.20
  6. Step 6: Final answer
    x = 1,150.08

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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.