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Finding the Fourth Proportional to 951.13, 1,426.68 and 512.59

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Solution

The fourth proportional to 951.13, 1,426.68 and 512.59 is: 768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.13 : 1,426.68 = 512.59 : x
  2. Step 2: Convert to fraction form
    951.13/1,426.68 = 512.59/x
  3. Step 3: Cross multiply
    951.13x = 1,426.68 × 512.59
  4. Step 4: Simplify right side
    951.13x = 731,296.05
  5. Step 5: Solve for x
    x = 731,296.05/951.13
  6. Step 6: Final answer
    x = 768.87

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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.