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Finding the Fourth Proportional to 1,196.98, 1,652.39 and 799.31

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Solution

The fourth proportional to 1,196.98, 1,652.39 and 799.31 is: 1,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.98 : 1,652.39 = 799.31 : x
  2. Step 2: Convert to fraction form
    1,196.98/1,652.39 = 799.31/x
  3. Step 3: Cross multiply
    1,196.98x = 1,652.39 × 799.31
  4. Step 4: Simplify right side
    1,196.98x = 1,320,771.85
  5. Step 5: Solve for x
    x = 1,320,771.85/1,196.98
  6. Step 6: Final answer
    x = 1,103.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.