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Finding the Fourth Proportional to 799.51, 1,198.11 and 452.11

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Solution

The fourth proportional to 799.51, 1,198.11 and 452.11 is: 677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.51 : 1,198.11 = 452.11 : x
  2. Step 2: Convert to fraction form
    799.51/1,198.11 = 452.11/x
  3. Step 3: Cross multiply
    799.51x = 1,198.11 × 452.11
  4. Step 4: Simplify right side
    799.51x = 541,677.51
  5. Step 5: Solve for x
    x = 541,677.51/799.51
  6. Step 6: Final answer
    x = 677.51

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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.