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Finding the Fourth Proportional to 1,194.11, 1,781.57 and 1,062.54

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Solution

The fourth proportional to 1,194.11, 1,781.57 and 1,062.54 is: 1,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.11 : 1,781.57 = 1,062.54 : x
  2. Step 2: Convert to fraction form
    1,194.11/1,781.57 = 1,062.54/x
  3. Step 3: Cross multiply
    1,194.11x = 1,781.57 × 1,062.54
  4. Step 4: Simplify right side
    1,194.11x = 1,892,984.08
  5. Step 5: Solve for x
    x = 1,892,984.08/1,194.11
  6. Step 6: Final answer
    x = 1,585.27

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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.