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Finding the Fourth Proportional to 1,027.82, 1,542.08 and 442.57

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Solution

The fourth proportional to 1,027.82, 1,542.08 and 442.57 is: 664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.82 : 1,542.08 = 442.57 : x
  2. Step 2: Convert to fraction form
    1,027.82/1,542.08 = 442.57/x
  3. Step 3: Cross multiply
    1,027.82x = 1,542.08 × 442.57
  4. Step 4: Simplify right side
    1,027.82x = 682,475.60
  5. Step 5: Solve for x
    x = 682,475.60/1,027.82
  6. Step 6: Final answer
    x = 664.01

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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.