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Finding the Fourth Proportional to 861.81, 1,293.52 and 451.24

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Solution

The fourth proportional to 861.81, 1,293.52 and 451.24 is: 677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.81 : 1,293.52 = 451.24 : x
  2. Step 2: Convert to fraction form
    861.81/1,293.52 = 451.24/x
  3. Step 3: Cross multiply
    861.81x = 1,293.52 × 451.24
  4. Step 4: Simplify right side
    861.81x = 583,684.45
  5. Step 5: Solve for x
    x = 583,684.45/861.81
  6. Step 6: Final answer
    x = 677.28

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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.