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Finding the Fourth Proportional to 1,191.46, 1,641.77 and 1,073.20

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Solution

The fourth proportional to 1,191.46, 1,641.77 and 1,073.20 is: 1,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.46 : 1,641.77 = 1,073.20 : x
  2. Step 2: Convert to fraction form
    1,191.46/1,641.77 = 1,073.20/x
  3. Step 3: Cross multiply
    1,191.46x = 1,641.77 × 1,073.20
  4. Step 4: Simplify right side
    1,191.46x = 1,761,947.56
  5. Step 5: Solve for x
    x = 1,761,947.56/1,191.46
  6. Step 6: Final answer
    x = 1,478.81

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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.