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Finding the Fourth Proportional to 862.82, 1,292.12 and 452.30

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Solution

The fourth proportional to 862.82, 1,292.12 and 452.30 is: 677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.82 : 1,292.12 = 452.30 : x
  2. Step 2: Convert to fraction form
    862.82/1,292.12 = 452.30/x
  3. Step 3: Cross multiply
    862.82x = 1,292.12 × 452.30
  4. Step 4: Simplify right side
    862.82x = 584,425.88
  5. Step 5: Solve for x
    x = 584,425.88/862.82
  6. Step 6: Final answer
    x = 677.34

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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.