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Finding the Fourth Proportional to 862.52, 1,292.09 and 818.24

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Solution

The fourth proportional to 862.52, 1,292.09 and 818.24 is: 1,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.52 : 1,292.09 = 818.24 : x
  2. Step 2: Convert to fraction form
    862.52/1,292.09 = 818.24/x
  3. Step 3: Cross multiply
    862.52x = 1,292.09 × 818.24
  4. Step 4: Simplify right side
    862.52x = 1,057,229.17
  5. Step 5: Solve for x
    x = 1,057,229.17/862.52
  6. Step 6: Final answer
    x = 1,225.75

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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.