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Finding the Fourth Proportional to 799.04, 1,198.32 and 360.05

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Solution

The fourth proportional to 799.04, 1,198.32 and 360.05 is: 539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.04 : 1,198.32 = 360.05 : x
  2. Step 2: Convert to fraction form
    799.04/1,198.32 = 360.05/x
  3. Step 3: Cross multiply
    799.04x = 1,198.32 × 360.05
  4. Step 4: Simplify right side
    799.04x = 431,449.12
  5. Step 5: Solve for x
    x = 431,449.12/799.04
  6. Step 6: Final answer
    x = 539.96

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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.