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Finding the Fourth Proportional to 865.81, 1,194.78 and 492.80

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Solution

The fourth proportional to 865.81, 1,194.78 and 492.80 is: 680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.81 : 1,194.78 = 492.80 : x
  2. Step 2: Convert to fraction form
    865.81/1,194.78 = 492.80/x
  3. Step 3: Cross multiply
    865.81x = 1,194.78 × 492.80
  4. Step 4: Simplify right side
    865.81x = 588,780.98
  5. Step 5: Solve for x
    x = 588,780.98/865.81
  6. Step 6: Final answer
    x = 680.03

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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.