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Finding the Fourth Proportional to 1,796.31, 2,694.47 and 563.73

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Solution

The fourth proportional to 1,796.31, 2,694.47 and 563.73 is: 845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.31 : 2,694.47 = 563.73 : x
  2. Step 2: Convert to fraction form
    1,796.31/2,694.47 = 563.73/x
  3. Step 3: Cross multiply
    1,796.31x = 2,694.47 × 563.73
  4. Step 4: Simplify right side
    1,796.31x = 1,518,940.65
  5. Step 5: Solve for x
    x = 1,518,940.65/1,796.31
  6. Step 6: Final answer
    x = 845.59

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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.