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Finding the Fourth Proportional to 863.87, 1,192.01 and 490.73

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Solution

The fourth proportional to 863.87, 1,192.01 and 490.73 is: 677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.87 : 1,192.01 = 490.73 : x
  2. Step 2: Convert to fraction form
    863.87/1,192.01 = 490.73/x
  3. Step 3: Cross multiply
    863.87x = 1,192.01 × 490.73
  4. Step 4: Simplify right side
    863.87x = 584,946.65
  5. Step 5: Solve for x
    x = 584,946.65/863.87
  6. Step 6: Final answer
    x = 677.13

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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.