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Finding the Fourth Proportional to 863.86, 1,192.14 and 490.78

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Solution

The fourth proportional to 863.86, 1,192.14 and 490.78 is: 677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.86 : 1,192.14 = 490.78 : x
  2. Step 2: Convert to fraction form
    863.86/1,192.14 = 490.78/x
  3. Step 3: Cross multiply
    863.86x = 1,192.14 × 490.78
  4. Step 4: Simplify right side
    863.86x = 585,078.47
  5. Step 5: Solve for x
    x = 585,078.47/863.86
  6. Step 6: Final answer
    x = 677.28

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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.