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Finding the Fourth Proportional to 791.50, 1,092.23 and 459.87

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Solution

The fourth proportional to 791.50, 1,092.23 and 459.87 is: 634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.50 : 1,092.23 = 459.87 : x
  2. Step 2: Convert to fraction form
    791.50/1,092.23 = 459.87/x
  3. Step 3: Cross multiply
    791.50x = 1,092.23 × 459.87
  4. Step 4: Simplify right side
    791.50x = 502,283.81
  5. Step 5: Solve for x
    x = 502,283.81/791.50
  6. Step 6: Final answer
    x = 634.60

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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.