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Finding the Fourth Proportional to 1,080.41, 1,621.83 and 642.61

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Solution

The fourth proportional to 1,080.41, 1,621.83 and 642.61 is: 964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.41 : 1,621.83 = 642.61 : x
  2. Step 2: Convert to fraction form
    1,080.41/1,621.83 = 642.61/x
  3. Step 3: Cross multiply
    1,080.41x = 1,621.83 × 642.61
  4. Step 4: Simplify right side
    1,080.41x = 1,042,196.07
  5. Step 5: Solve for x
    x = 1,042,196.07/1,080.41
  6. Step 6: Final answer
    x = 964.63

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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.