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Finding the Fourth Proportional to 865.63, 1,194.60 and 492.63

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Solution

The fourth proportional to 865.63, 1,194.60 and 492.63 is: 679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.63 : 1,194.60 = 492.63 : x
  2. Step 2: Convert to fraction form
    865.63/1,194.60 = 492.63/x
  3. Step 3: Cross multiply
    865.63x = 1,194.60 × 492.63
  4. Step 4: Simplify right side
    865.63x = 588,495.80
  5. Step 5: Solve for x
    x = 588,495.80/865.63
  6. Step 6: Final answer
    x = 679.85

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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.