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Finding the Fourth Proportional to 1,197.82, 1,791.60 and 998.94

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Solution

The fourth proportional to 1,197.82, 1,791.60 and 998.94 is: 1,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.82 : 1,791.60 = 998.94 : x
  2. Step 2: Convert to fraction form
    1,197.82/1,791.60 = 998.94/x
  3. Step 3: Cross multiply
    1,197.82x = 1,791.60 × 998.94
  4. Step 4: Simplify right side
    1,197.82x = 1,789,690.44
  5. Step 5: Solve for x
    x = 1,789,690.44/1,197.82
  6. Step 6: Final answer
    x = 1,494.13

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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.