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Finding the Fourth Proportional to 791.44, 1,187.19 and 214.31

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Solution

The fourth proportional to 791.44, 1,187.19 and 214.31 is: 321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.44 : 1,187.19 = 214.31 : x
  2. Step 2: Convert to fraction form
    791.44/1,187.19 = 214.31/x
  3. Step 3: Cross multiply
    791.44x = 1,187.19 × 214.31
  4. Step 4: Simplify right side
    791.44x = 254,429.66
  5. Step 5: Solve for x
    x = 254,429.66/791.44
  6. Step 6: Final answer
    x = 321.48

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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.