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Finding the Fourth Proportional to 1,027.82, 1,542.09 and 442.58

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Solution

The fourth proportional to 1,027.82, 1,542.09 and 442.58 is: 664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.82 : 1,542.09 = 442.58 : x
  2. Step 2: Convert to fraction form
    1,027.82/1,542.09 = 442.58/x
  3. Step 3: Cross multiply
    1,027.82x = 1,542.09 × 442.58
  4. Step 4: Simplify right side
    1,027.82x = 682,490.48
  5. Step 5: Solve for x
    x = 682,490.48/1,027.82
  6. Step 6: Final answer
    x = 664.02

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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.