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Finding the Fourth Proportional to 1,080.69, 1,621.27 and 311.13

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Solution

The fourth proportional to 1,080.69, 1,621.27 and 311.13 is: 466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.69 : 1,621.27 = 311.13 : x
  2. Step 2: Convert to fraction form
    1,080.69/1,621.27 = 311.13/x
  3. Step 3: Cross multiply
    1,080.69x = 1,621.27 × 311.13
  4. Step 4: Simplify right side
    1,080.69x = 504,425.74
  5. Step 5: Solve for x
    x = 504,425.74/1,080.69
  6. Step 6: Final answer
    x = 466.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.