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Finding the Fourth Proportional to 863.20, 1,293.01 and 451.09

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Solution

The fourth proportional to 863.20, 1,293.01 and 451.09 is: 675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.20 : 1,293.01 = 451.09 : x
  2. Step 2: Convert to fraction form
    863.20/1,293.01 = 451.09/x
  3. Step 3: Cross multiply
    863.20x = 1,293.01 × 451.09
  4. Step 4: Simplify right side
    863.20x = 583,255.16
  5. Step 5: Solve for x
    x = 583,255.16/863.20
  6. Step 6: Final answer
    x = 675.69

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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.