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Finding the Fourth Proportional to 791.73, 1,187.60 and 214.61

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Solution

The fourth proportional to 791.73, 1,187.60 and 214.61 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.73 : 1,187.60 = 214.61 : x
  2. Step 2: Convert to fraction form
    791.73/1,187.60 = 214.61/x
  3. Step 3: Cross multiply
    791.73x = 1,187.60 × 214.61
  4. Step 4: Simplify right side
    791.73x = 254,863.82
  5. Step 5: Solve for x
    x = 254,863.82/791.73
  6. Step 6: Final answer
    x = 321.91

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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.