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Finding the Fourth Proportional to 791.78, 1,186.65 and 742.57

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Solution

The fourth proportional to 791.78, 1,186.65 and 742.57 is: 1,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.78 : 1,186.65 = 742.57 : x
  2. Step 2: Convert to fraction form
    791.78/1,186.65 = 742.57/x
  3. Step 3: Cross multiply
    791.78x = 1,186.65 × 742.57
  4. Step 4: Simplify right side
    791.78x = 881,167.72
  5. Step 5: Solve for x
    x = 881,167.72/791.78
  6. Step 6: Final answer
    x = 1,112.90

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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.