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Finding the Fourth Proportional to 863.44, 1,189.52 and 758.35

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Solution

The fourth proportional to 863.44, 1,189.52 and 758.35 is: 1,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.44 : 1,189.52 = 758.35 : x
  2. Step 2: Convert to fraction form
    863.44/1,189.52 = 758.35/x
  3. Step 3: Cross multiply
    863.44x = 1,189.52 × 758.35
  4. Step 4: Simplify right side
    863.44x = 902,062.75
  5. Step 5: Solve for x
    x = 902,062.75/863.44
  6. Step 6: Final answer
    x = 1,044.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.