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Finding the Fourth Proportional to 974.54, 1,462.07 and 512.19

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Solution

The fourth proportional to 974.54, 1,462.07 and 512.19 is: 768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.54 : 1,462.07 = 512.19 : x
  2. Step 2: Convert to fraction form
    974.54/1,462.07 = 512.19/x
  3. Step 3: Cross multiply
    974.54x = 1,462.07 × 512.19
  4. Step 4: Simplify right side
    974.54x = 748,858.91
  5. Step 5: Solve for x
    x = 748,858.91/974.54
  6. Step 6: Final answer
    x = 768.42

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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.