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Finding the Fourth Proportional to 1,199.96, 1,788.38 and 1,198.14

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Solution

The fourth proportional to 1,199.96, 1,788.38 and 1,198.14 is: 1,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.96 : 1,788.38 = 1,198.14 : x
  2. Step 2: Convert to fraction form
    1,199.96/1,788.38 = 1,198.14/x
  3. Step 3: Cross multiply
    1,199.96x = 1,788.38 × 1,198.14
  4. Step 4: Simplify right side
    1,199.96x = 2,142,718.04
  5. Step 5: Solve for x
    x = 2,142,718.04/1,199.96
  6. Step 6: Final answer
    x = 1,785.66

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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.