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Finding the Fourth Proportional to 1,080.88, 1,621.32 and 311.38

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Solution

The fourth proportional to 1,080.88, 1,621.32 and 311.38 is: 467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.88 : 1,621.32 = 311.38 : x
  2. Step 2: Convert to fraction form
    1,080.88/1,621.32 = 311.38/x
  3. Step 3: Cross multiply
    1,080.88x = 1,621.32 × 311.38
  4. Step 4: Simplify right side
    1,080.88x = 504,846.62
  5. Step 5: Solve for x
    x = 504,846.62/1,080.88
  6. Step 6: Final answer
    x = 467.07

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Why These Related Problems?

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