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Finding the Fourth Proportional to 791.96, 1,187.87 and 353.23

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Solution

The fourth proportional to 791.96, 1,187.87 and 353.23 is: 529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.96 : 1,187.87 = 353.23 : x
  2. Step 2: Convert to fraction form
    791.96/1,187.87 = 353.23/x
  3. Step 3: Cross multiply
    791.96x = 1,187.87 × 353.23
  4. Step 4: Simplify right side
    791.96x = 419,586.58
  5. Step 5: Solve for x
    x = 419,586.58/791.96
  6. Step 6: Final answer
    x = 529.81

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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.