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Finding the Fourth Proportional to 799.76, 1,198.08 and 490.70

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Solution

The fourth proportional to 799.76, 1,198.08 and 490.70 is: 735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.76 : 1,198.08 = 490.70 : x
  2. Step 2: Convert to fraction form
    799.76/1,198.08 = 490.70/x
  3. Step 3: Cross multiply
    799.76x = 1,198.08 × 490.70
  4. Step 4: Simplify right side
    799.76x = 587,891.87
  5. Step 5: Solve for x
    x = 587,891.87/799.76
  6. Step 6: Final answer
    x = 735.09

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Why These Related Problems?

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