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Finding the Fourth Proportional to 865.86, 1,194.88 and 492.92

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Solution

The fourth proportional to 865.86, 1,194.88 and 492.92 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.86 : 1,194.88 = 492.92 : x
  2. Step 2: Convert to fraction form
    865.86/1,194.88 = 492.92/x
  3. Step 3: Cross multiply
    865.86x = 1,194.88 × 492.92
  4. Step 4: Simplify right side
    865.86x = 588,980.25
  5. Step 5: Solve for x
    x = 588,980.25/865.86
  6. Step 6: Final answer
    x = 680.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.