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Finding the Fourth Proportional to 859.36, 1,286.38 and 663.86

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Solution

The fourth proportional to 859.36, 1,286.38 and 663.86 is: 993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.36 : 1,286.38 = 663.86 : x
  2. Step 2: Convert to fraction form
    859.36/1,286.38 = 663.86/x
  3. Step 3: Cross multiply
    859.36x = 1,286.38 × 663.86
  4. Step 4: Simplify right side
    859.36x = 853,976.23
  5. Step 5: Solve for x
    x = 853,976.23/859.36
  6. Step 6: Final answer
    x = 993.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.