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Finding the Fourth Proportional to 1,196.98, 1,796.49 and 889.43

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Solution

The fourth proportional to 1,196.98, 1,796.49 and 889.43 is: 1,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.98 : 1,796.49 = 889.43 : x
  2. Step 2: Convert to fraction form
    1,196.98/1,796.49 = 889.43/x
  3. Step 3: Cross multiply
    1,196.98x = 1,796.49 × 889.43
  4. Step 4: Simplify right side
    1,196.98x = 1,597,843.12
  5. Step 5: Solve for x
    x = 1,597,843.12/1,196.98
  6. Step 6: Final answer
    x = 1,334.90

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