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Finding the Fourth Proportional to 799.46, 1,197.89 and 490.37

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Solution

The fourth proportional to 799.46, 1,197.89 and 490.37 is: 734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.46 : 1,197.89 = 490.37 : x
  2. Step 2: Convert to fraction form
    799.46/1,197.89 = 490.37/x
  3. Step 3: Cross multiply
    799.46x = 1,197.89 × 490.37
  4. Step 4: Simplify right side
    799.46x = 587,406.87
  5. Step 5: Solve for x
    x = 587,406.87/799.46
  6. Step 6: Final answer
    x = 734.76

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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.