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Finding the Fourth Proportional to 863.50, 1,191.75 and 490.54

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Solution

The fourth proportional to 863.50, 1,191.75 and 490.54 is: 677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.50 : 1,191.75 = 490.54 : x
  2. Step 2: Convert to fraction form
    863.50/1,191.75 = 490.54/x
  3. Step 3: Cross multiply
    863.50x = 1,191.75 × 490.54
  4. Step 4: Simplify right side
    863.50x = 584,601.05
  5. Step 5: Solve for x
    x = 584,601.05/863.50
  6. Step 6: Final answer
    x = 677.01

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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.