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Finding the Fourth Proportional to 951.68, 1,426.67 and 513.17

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Solution

The fourth proportional to 951.68, 1,426.67 and 513.17 is: 769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.68 : 1,426.67 = 513.17 : x
  2. Step 2: Convert to fraction form
    951.68/1,426.67 = 513.17/x
  3. Step 3: Cross multiply
    951.68x = 1,426.67 × 513.17
  4. Step 4: Simplify right side
    951.68x = 732,114.54
  5. Step 5: Solve for x
    x = 732,114.54/951.68
  6. Step 6: Final answer
    x = 769.29

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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.