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Finding the Fourth Proportional to 863.14, 1,294.71 and 213.87

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Solution

The fourth proportional to 863.14, 1,294.71 and 213.87 is: 320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.14 : 1,294.71 = 213.87 : x
  2. Step 2: Convert to fraction form
    863.14/1,294.71 = 213.87/x
  3. Step 3: Cross multiply
    863.14x = 1,294.71 × 213.87
  4. Step 4: Simplify right side
    863.14x = 276,899.63
  5. Step 5: Solve for x
    x = 276,899.63/863.14
  6. Step 6: Final answer
    x = 320.81

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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.