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Finding the Fourth Proportional to 791.40, 1,092.06 and 511.14

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Solution

The fourth proportional to 791.40, 1,092.06 and 511.14 is: 705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.40 : 1,092.06 = 511.14 : x
  2. Step 2: Convert to fraction form
    791.40/1,092.06 = 511.14/x
  3. Step 3: Cross multiply
    791.40x = 1,092.06 × 511.14
  4. Step 4: Simplify right side
    791.40x = 558,195.55
  5. Step 5: Solve for x
    x = 558,195.55/791.40
  6. Step 6: Final answer
    x = 705.33

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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.