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Finding the Fourth Proportional to 863.66, 1,289.22 and 799.42

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Solution

The fourth proportional to 863.66, 1,289.22 and 799.42 is: 1,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.66 : 1,289.22 = 799.42 : x
  2. Step 2: Convert to fraction form
    863.66/1,289.22 = 799.42/x
  3. Step 3: Cross multiply
    863.66x = 1,289.22 × 799.42
  4. Step 4: Simplify right side
    863.66x = 1,030,628.25
  5. Step 5: Solve for x
    x = 1,030,628.25/863.66
  6. Step 6: Final answer
    x = 1,193.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.