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Finding the Fourth Proportional to 1,200.86, 1,789.52 and 1,161.71

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Solution

The fourth proportional to 1,200.86, 1,789.52 and 1,161.71 is: 1,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.86 : 1,789.52 = 1,161.71 : x
  2. Step 2: Convert to fraction form
    1,200.86/1,789.52 = 1,161.71/x
  3. Step 3: Cross multiply
    1,200.86x = 1,789.52 × 1,161.71
  4. Step 4: Simplify right side
    1,200.86x = 2,078,903.28
  5. Step 5: Solve for x
    x = 2,078,903.28/1,200.86
  6. Step 6: Final answer
    x = 1,731.18

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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.