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Finding the Fourth Proportional to 650.02, 974.13 and 512.44

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Solution

The fourth proportional to 650.02, 974.13 and 512.44 is: 767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.02 : 974.13 = 512.44 : x
  2. Step 2: Convert to fraction form
    650.02/974.13 = 512.44/x
  3. Step 3: Cross multiply
    650.02x = 974.13 × 512.44
  4. Step 4: Simplify right side
    650.02x = 499,183.18
  5. Step 5: Solve for x
    x = 499,183.18/650.02
  6. Step 6: Final answer
    x = 767.95

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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.