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Finding the Fourth Proportional to 1,194.27, 1,646.01 and 1,027.80

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Solution

The fourth proportional to 1,194.27, 1,646.01 and 1,027.80 is: 1,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.27 : 1,646.01 = 1,027.80 : x
  2. Step 2: Convert to fraction form
    1,194.27/1,646.01 = 1,027.80/x
  3. Step 3: Cross multiply
    1,194.27x = 1,646.01 × 1,027.80
  4. Step 4: Simplify right side
    1,194.27x = 1,691,769.08
  5. Step 5: Solve for x
    x = 1,691,769.08/1,194.27
  6. Step 6: Final answer
    x = 1,416.57

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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.