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Finding the Fourth Proportional to 974.86, 1,462.88 and 512.97

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Solution

The fourth proportional to 974.86, 1,462.88 and 512.97 is: 769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.86 : 1,462.88 = 512.97 : x
  2. Step 2: Convert to fraction form
    974.86/1,462.88 = 512.97/x
  3. Step 3: Cross multiply
    974.86x = 1,462.88 × 512.97
  4. Step 4: Simplify right side
    974.86x = 750,406.24
  5. Step 5: Solve for x
    x = 750,406.24/974.86
  6. Step 6: Final answer
    x = 769.76

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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.