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Finding the Fourth Proportional to 1,027.98, 1,542.26 and 442.66

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Solution

The fourth proportional to 1,027.98, 1,542.26 and 442.66 is: 664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.98 : 1,542.26 = 442.66 : x
  2. Step 2: Convert to fraction form
    1,027.98/1,542.26 = 442.66/x
  3. Step 3: Cross multiply
    1,027.98x = 1,542.26 × 442.66
  4. Step 4: Simplify right side
    1,027.98x = 682,696.81
  5. Step 5: Solve for x
    x = 682,696.81/1,027.98
  6. Step 6: Final answer
    x = 664.11

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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.