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Finding the Fourth Proportional to 863.91, 1,296.17 and 377.00

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Solution

The fourth proportional to 863.91, 1,296.17 and 377.00 is: 565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.91 : 1,296.17 = 377.00 : x
  2. Step 2: Convert to fraction form
    863.91/1,296.17 = 377.00/x
  3. Step 3: Cross multiply
    863.91x = 1,296.17 × 377.00
  4. Step 4: Simplify right side
    863.91x = 488,647.72
  5. Step 5: Solve for x
    x = 488,647.72/863.91
  6. Step 6: Final answer
    x = 565.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.