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Finding the Fourth Proportional to 862.68, 1,294.02 and 516.12

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Solution

The fourth proportional to 862.68, 1,294.02 and 516.12 is: 774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.68 : 1,294.02 = 516.12 : x
  2. Step 2: Convert to fraction form
    862.68/1,294.02 = 516.12/x
  3. Step 3: Cross multiply
    862.68x = 1,294.02 × 516.12
  4. Step 4: Simplify right side
    862.68x = 667,860.55
  5. Step 5: Solve for x
    x = 667,860.55/862.68
  6. Step 6: Final answer
    x = 774.17

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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.