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Finding the Fourth Proportional to 791.78, 1,188.07 and 731.23

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Solution

The fourth proportional to 791.78, 1,188.07 and 731.23 is: 1,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.78 : 1,188.07 = 731.23 : x
  2. Step 2: Convert to fraction form
    791.78/1,188.07 = 731.23/x
  3. Step 3: Cross multiply
    791.78x = 1,188.07 × 731.23
  4. Step 4: Simplify right side
    791.78x = 868,747.63
  5. Step 5: Solve for x
    x = 868,747.63/791.78
  6. Step 6: Final answer
    x = 1,097.22

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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.