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Finding the Fourth Proportional to 791.42, 1,181.57 and 713.66

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Solution

The fourth proportional to 791.42, 1,181.57 and 713.66 is: 1,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.42 : 1,181.57 = 713.66 : x
  2. Step 2: Convert to fraction form
    791.42/1,181.57 = 713.66/x
  3. Step 3: Cross multiply
    791.42x = 1,181.57 × 713.66
  4. Step 4: Simplify right side
    791.42x = 843,229.77
  5. Step 5: Solve for x
    x = 843,229.77/791.42
  6. Step 6: Final answer
    x = 1,065.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.