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Finding the Fourth Proportional to 862.45, 1,294.38 and 516.17

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Solution

The fourth proportional to 862.45, 1,294.38 and 516.17 is: 774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.45 : 1,294.38 = 516.17 : x
  2. Step 2: Convert to fraction form
    862.45/1,294.38 = 516.17/x
  3. Step 3: Cross multiply
    862.45x = 1,294.38 × 516.17
  4. Step 4: Simplify right side
    862.45x = 668,123.36
  5. Step 5: Solve for x
    x = 668,123.36/862.45
  6. Step 6: Final answer
    x = 774.68

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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.