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Finding the Fourth Proportional to 1,080.78, 1,621.84 and 431.56

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Solution

The fourth proportional to 1,080.78, 1,621.84 and 431.56 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.78 : 1,621.84 = 431.56 : x
  2. Step 2: Convert to fraction form
    1,080.78/1,621.84 = 431.56/x
  3. Step 3: Cross multiply
    1,080.78x = 1,621.84 × 431.56
  4. Step 4: Simplify right side
    1,080.78x = 699,921.27
  5. Step 5: Solve for x
    x = 699,921.27/1,080.78
  6. Step 6: Final answer
    x = 647.61

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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.