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Finding the Fourth Proportional to 863.64, 1,191.72 and 490.68

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Solution

The fourth proportional to 863.64, 1,191.72 and 490.68 is: 677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.64 : 1,191.72 = 490.68 : x
  2. Step 2: Convert to fraction form
    863.64/1,191.72 = 490.68/x
  3. Step 3: Cross multiply
    863.64x = 1,191.72 × 490.68
  4. Step 4: Simplify right side
    863.64x = 584,753.17
  5. Step 5: Solve for x
    x = 584,753.17/863.64
  6. Step 6: Final answer
    x = 677.08

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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.