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Finding the Fourth Proportional to 791.74, 1,092.34 and 512.17

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Solution

The fourth proportional to 791.74, 1,092.34 and 512.17 is: 706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.74 : 1,092.34 = 512.17 : x
  2. Step 2: Convert to fraction form
    791.74/1,092.34 = 512.17/x
  3. Step 3: Cross multiply
    791.74x = 1,092.34 × 512.17
  4. Step 4: Simplify right side
    791.74x = 559,464.95
  5. Step 5: Solve for x
    x = 559,464.95/791.74
  6. Step 6: Final answer
    x = 706.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.