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Finding the Fourth Proportional to 799.82, 1,198.18 and 490.76

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Solution

The fourth proportional to 799.82, 1,198.18 and 490.76 is: 735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.82 : 1,198.18 = 490.76 : x
  2. Step 2: Convert to fraction form
    799.82/1,198.18 = 490.76/x
  3. Step 3: Cross multiply
    799.82x = 1,198.18 × 490.76
  4. Step 4: Simplify right side
    799.82x = 588,018.82
  5. Step 5: Solve for x
    x = 588,018.82/799.82
  6. Step 6: Final answer
    x = 735.19

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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.