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Finding the Fourth Proportional to 791.53, 1,092.06 and 459.89

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Solution

The fourth proportional to 791.53, 1,092.06 and 459.89 is: 634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.53 : 1,092.06 = 459.89 : x
  2. Step 2: Convert to fraction form
    791.53/1,092.06 = 459.89/x
  3. Step 3: Cross multiply
    791.53x = 1,092.06 × 459.89
  4. Step 4: Simplify right side
    791.53x = 502,225.89
  5. Step 5: Solve for x
    x = 502,225.89/791.53
  6. Step 6: Final answer
    x = 634.50

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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.