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Finding the Fourth Proportional to 791.94, 1,092.84 and 460.32

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Solution

The fourth proportional to 791.94, 1,092.84 and 460.32 is: 635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.94 : 1,092.84 = 460.32 : x
  2. Step 2: Convert to fraction form
    791.94/1,092.84 = 460.32/x
  3. Step 3: Cross multiply
    791.94x = 1,092.84 × 460.32
  4. Step 4: Simplify right side
    791.94x = 503,056.11
  5. Step 5: Solve for x
    x = 503,056.11/791.94
  6. Step 6: Final answer
    x = 635.22

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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.