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Finding the Fourth Proportional to 865.97, 1,195.03 and 492.96

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Solution

The fourth proportional to 865.97, 1,195.03 and 492.96 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.97 : 1,195.03 = 492.96 : x
  2. Step 2: Convert to fraction form
    865.97/1,195.03 = 492.96/x
  3. Step 3: Cross multiply
    865.97x = 1,195.03 × 492.96
  4. Step 4: Simplify right side
    865.97x = 589,101.99
  5. Step 5: Solve for x
    x = 589,101.99/865.97
  6. Step 6: Final answer
    x = 680.28

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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.