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Finding the Fourth Proportional to 865.31, 1,194.25 and 492.22

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Solution

The fourth proportional to 865.31, 1,194.25 and 492.22 is: 679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.31 : 1,194.25 = 492.22 : x
  2. Step 2: Convert to fraction form
    865.31/1,194.25 = 492.22/x
  3. Step 3: Cross multiply
    865.31x = 1,194.25 × 492.22
  4. Step 4: Simplify right side
    865.31x = 587,834.00
  5. Step 5: Solve for x
    x = 587,834.00/865.31
  6. Step 6: Final answer
    x = 679.33

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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.