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Finding the Fourth Proportional to 862.86, 1,292.04 and 791.58

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Solution

The fourth proportional to 862.86, 1,292.04 and 791.58 is: 1,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.86 : 1,292.04 = 791.58 : x
  2. Step 2: Convert to fraction form
    862.86/1,292.04 = 791.58/x
  3. Step 3: Cross multiply
    862.86x = 1,292.04 × 791.58
  4. Step 4: Simplify right side
    862.86x = 1,022,753.02
  5. Step 5: Solve for x
    x = 1,022,753.02/862.86
  6. Step 6: Final answer
    x = 1,185.31

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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.