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Finding the Fourth Proportional to 791.34, 1,092.15 and 480.66

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Solution

The fourth proportional to 791.34, 1,092.15 and 480.66 is: 663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.34 : 1,092.15 = 480.66 : x
  2. Step 2: Convert to fraction form
    791.34/1,092.15 = 480.66/x
  3. Step 3: Cross multiply
    791.34x = 1,092.15 × 480.66
  4. Step 4: Simplify right side
    791.34x = 524,952.82
  5. Step 5: Solve for x
    x = 524,952.82/791.34
  6. Step 6: Final answer
    x = 663.37

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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.