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Finding the Fourth Proportional to 862.81, 1,293.09 and 451.83

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Solution

The fourth proportional to 862.81, 1,293.09 and 451.83 is: 677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.81 : 1,293.09 = 451.83 : x
  2. Step 2: Convert to fraction form
    862.81/1,293.09 = 451.83/x
  3. Step 3: Cross multiply
    862.81x = 1,293.09 × 451.83
  4. Step 4: Simplify right side
    862.81x = 584,256.85
  5. Step 5: Solve for x
    x = 584,256.85/862.81
  6. Step 6: Final answer
    x = 677.16

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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.