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Finding the Fourth Proportional to 861.35, 1,288.94 and 746.19

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Solution

The fourth proportional to 861.35, 1,288.94 and 746.19 is: 1,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.35 : 1,288.94 = 746.19 : x
  2. Step 2: Convert to fraction form
    861.35/1,288.94 = 746.19/x
  3. Step 3: Cross multiply
    861.35x = 1,288.94 × 746.19
  4. Step 4: Simplify right side
    861.35x = 961,790.41
  5. Step 5: Solve for x
    x = 961,790.41/861.35
  6. Step 6: Final answer
    x = 1,116.61

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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.