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Finding the Fourth Proportional to 1,218.48, 1,827.78 and 396.82

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Solution

The fourth proportional to 1,218.48, 1,827.78 and 396.82 is: 595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.48 : 1,827.78 = 396.82 : x
  2. Step 2: Convert to fraction form
    1,218.48/1,827.78 = 396.82/x
  3. Step 3: Cross multiply
    1,218.48x = 1,827.78 × 396.82
  4. Step 4: Simplify right side
    1,218.48x = 725,299.66
  5. Step 5: Solve for x
    x = 725,299.66/1,218.48
  6. Step 6: Final answer
    x = 595.25

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