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Finding the Fourth Proportional to 1,002.82, 1,383.36 and 629.09

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Solution

The fourth proportional to 1,002.82, 1,383.36 and 629.09 is: 867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.82 : 1,383.36 = 629.09 : x
  2. Step 2: Convert to fraction form
    1,002.82/1,383.36 = 629.09/x
  3. Step 3: Cross multiply
    1,002.82x = 1,383.36 × 629.09
  4. Step 4: Simplify right side
    1,002.82x = 870,257.94
  5. Step 5: Solve for x
    x = 870,257.94/1,002.82
  6. Step 6: Final answer
    x = 867.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.