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Finding the Fourth Proportional to 1,081.20, 1,491.56 and 814.80

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Solution

The fourth proportional to 1,081.20, 1,491.56 and 814.80 is: 1,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.20 : 1,491.56 = 814.80 : x
  2. Step 2: Convert to fraction form
    1,081.20/1,491.56 = 814.80/x
  3. Step 3: Cross multiply
    1,081.20x = 1,491.56 × 814.80
  4. Step 4: Simplify right side
    1,081.20x = 1,215,323.09
  5. Step 5: Solve for x
    x = 1,215,323.09/1,081.20
  6. Step 6: Final answer
    x = 1,124.05

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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.