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Finding the Fourth Proportional to 1,198.13, 1,799.22 and 736.84

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Solution

The fourth proportional to 1,198.13, 1,799.22 and 736.84 is: 1,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.13 : 1,799.22 = 736.84 : x
  2. Step 2: Convert to fraction form
    1,198.13/1,799.22 = 736.84/x
  3. Step 3: Cross multiply
    1,198.13x = 1,799.22 × 736.84
  4. Step 4: Simplify right side
    1,198.13x = 1,325,737.26
  5. Step 5: Solve for x
    x = 1,325,737.26/1,198.13
  6. Step 6: Final answer
    x = 1,106.51

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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.