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Finding the Fourth Proportional to 1,198.96, 1,785.29 and 1,185.91

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Solution

The fourth proportional to 1,198.96, 1,785.29 and 1,185.91 is: 1,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.96 : 1,785.29 = 1,185.91 : x
  2. Step 2: Convert to fraction form
    1,198.96/1,785.29 = 1,185.91/x
  3. Step 3: Cross multiply
    1,198.96x = 1,785.29 × 1,185.91
  4. Step 4: Simplify right side
    1,198.96x = 2,117,193.26
  5. Step 5: Solve for x
    x = 2,117,193.26/1,198.96
  6. Step 6: Final answer
    x = 1,765.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.