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Finding the Fourth Proportional to 791.84, 1,092.66 and 460.20

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Solution

The fourth proportional to 791.84, 1,092.66 and 460.20 is: 635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.84 : 1,092.66 = 460.20 : x
  2. Step 2: Convert to fraction form
    791.84/1,092.66 = 460.20/x
  3. Step 3: Cross multiply
    791.84x = 1,092.66 × 460.20
  4. Step 4: Simplify right side
    791.84x = 502,842.13
  5. Step 5: Solve for x
    x = 502,842.13/791.84
  6. Step 6: Final answer
    x = 635.03

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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.