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Finding the Fourth Proportional to 984.44, 1,475.34 and 799.76

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Solution

The fourth proportional to 984.44, 1,475.34 and 799.76 is: 1,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.44 : 1,475.34 = 799.76 : x
  2. Step 2: Convert to fraction form
    984.44/1,475.34 = 799.76/x
  3. Step 3: Cross multiply
    984.44x = 1,475.34 × 799.76
  4. Step 4: Simplify right side
    984.44x = 1,179,917.92
  5. Step 5: Solve for x
    x = 1,179,917.92/984.44
  6. Step 6: Final answer
    x = 1,198.57

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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.