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Finding the Fourth Proportional to 863.72, 1,191.73 and 490.66

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Solution

The fourth proportional to 863.72, 1,191.73 and 490.66 is: 676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.72 : 1,191.73 = 490.66 : x
  2. Step 2: Convert to fraction form
    863.72/1,191.73 = 490.66/x
  3. Step 3: Cross multiply
    863.72x = 1,191.73 × 490.66
  4. Step 4: Simplify right side
    863.72x = 584,730.04
  5. Step 5: Solve for x
    x = 584,730.04/863.72
  6. Step 6: Final answer
    x = 676.99

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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.