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Finding the Fourth Proportional to 993.16, 1,367.22 and 863.56

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Solution

The fourth proportional to 993.16, 1,367.22 and 863.56 is: 1,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.16 : 1,367.22 = 863.56 : x
  2. Step 2: Convert to fraction form
    993.16/1,367.22 = 863.56/x
  3. Step 3: Cross multiply
    993.16x = 1,367.22 × 863.56
  4. Step 4: Simplify right side
    993.16x = 1,180,676.50
  5. Step 5: Solve for x
    x = 1,180,676.50/993.16
  6. Step 6: Final answer
    x = 1,188.81

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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.