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Finding the Fourth Proportional to 860.20, 1,188.42 and 791.08

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Solution

The fourth proportional to 860.20, 1,188.42 and 791.08 is: 1,092.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.20 : 1,188.42 = 791.08 : x
  2. Step 2: Convert to fraction form
    860.20/1,188.42 = 791.08/x
  3. Step 3: Cross multiply
    860.20x = 1,188.42 × 791.08
  4. Step 4: Simplify right side
    860.20x = 940,135.29
  5. Step 5: Solve for x
    x = 940,135.29/860.20
  6. Step 6: Final answer
    x = 1,092.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.