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Finding the Fourth Proportional to 865.56, 1,194.46 and 492.53

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Solution

The fourth proportional to 865.56, 1,194.46 and 492.53 is: 679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.56 : 1,194.46 = 492.53 : x
  2. Step 2: Convert to fraction form
    865.56/1,194.46 = 492.53/x
  3. Step 3: Cross multiply
    865.56x = 1,194.46 × 492.53
  4. Step 4: Simplify right side
    865.56x = 588,310.99
  5. Step 5: Solve for x
    x = 588,310.99/865.56
  6. Step 6: Final answer
    x = 679.69

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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.