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Finding the Fourth Proportional to 1,027.91, 1,542.31 and 681.37

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Solution

The fourth proportional to 1,027.91, 1,542.31 and 681.37 is: 1,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.91 : 1,542.31 = 681.37 : x
  2. Step 2: Convert to fraction form
    1,027.91/1,542.31 = 681.37/x
  3. Step 3: Cross multiply
    1,027.91x = 1,542.31 × 681.37
  4. Step 4: Simplify right side
    1,027.91x = 1,050,872.65
  5. Step 5: Solve for x
    x = 1,050,872.65/1,027.91
  6. Step 6: Final answer
    x = 1,022.34

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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.