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Finding the Fourth Proportional to 862.80, 1,296.90 and 814.20

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Solution

The fourth proportional to 862.80, 1,296.90 and 814.20 is: 1,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.80 : 1,296.90 = 814.20 : x
  2. Step 2: Convert to fraction form
    862.80/1,296.90 = 814.20/x
  3. Step 3: Cross multiply
    862.80x = 1,296.90 × 814.20
  4. Step 4: Simplify right side
    862.80x = 1,055,935.98
  5. Step 5: Solve for x
    x = 1,055,935.98/862.80
  6. Step 6: Final answer
    x = 1,223.85

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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.