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Finding the Fourth Proportional to 791.55, 1,187.22 and 243.75

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Solution

The fourth proportional to 791.55, 1,187.22 and 243.75 is: 365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.55 : 1,187.22 = 243.75 : x
  2. Step 2: Convert to fraction form
    791.55/1,187.22 = 243.75/x
  3. Step 3: Cross multiply
    791.55x = 1,187.22 × 243.75
  4. Step 4: Simplify right side
    791.55x = 289,384.88
  5. Step 5: Solve for x
    x = 289,384.88/791.55
  6. Step 6: Final answer
    x = 365.59

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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.