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Finding the Fourth Proportional to 1,297.42, 1,789.89 and 855.22

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Solution

The fourth proportional to 1,297.42, 1,789.89 and 855.22 is: 1,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.42 : 1,789.89 = 855.22 : x
  2. Step 2: Convert to fraction form
    1,297.42/1,789.89 = 855.22/x
  3. Step 3: Cross multiply
    1,297.42x = 1,789.89 × 855.22
  4. Step 4: Simplify right side
    1,297.42x = 1,530,749.73
  5. Step 5: Solve for x
    x = 1,530,749.73/1,297.42
  6. Step 6: Final answer
    x = 1,179.84

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