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Finding the Fourth Proportional to 862.80, 1,294.47 and 516.53

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Solution

The fourth proportional to 862.80, 1,294.47 and 516.53 is: 774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.80 : 1,294.47 = 516.53 : x
  2. Step 2: Convert to fraction form
    862.80/1,294.47 = 516.53/x
  3. Step 3: Cross multiply
    862.80x = 1,294.47 × 516.53
  4. Step 4: Simplify right side
    862.80x = 668,623.53
  5. Step 5: Solve for x
    x = 668,623.53/862.80
  6. Step 6: Final answer
    x = 774.95

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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.