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Finding the Fourth Proportional to 974.92, 1,462.97 and 513.03

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Solution

The fourth proportional to 974.92, 1,462.97 and 513.03 is: 769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.92 : 1,462.97 = 513.03 : x
  2. Step 2: Convert to fraction form
    974.92/1,462.97 = 513.03/x
  3. Step 3: Cross multiply
    974.92x = 1,462.97 × 513.03
  4. Step 4: Simplify right side
    974.92x = 750,546.04
  5. Step 5: Solve for x
    x = 750,546.04/974.92
  6. Step 6: Final answer
    x = 769.85

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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.