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Finding the Fourth Proportional to 1,227.61, 1,841.69 and 405.85

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Solution

The fourth proportional to 1,227.61, 1,841.69 and 405.85 is: 608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.61 : 1,841.69 = 405.85 : x
  2. Step 2: Convert to fraction form
    1,227.61/1,841.69 = 405.85/x
  3. Step 3: Cross multiply
    1,227.61x = 1,841.69 × 405.85
  4. Step 4: Simplify right side
    1,227.61x = 747,449.89
  5. Step 5: Solve for x
    x = 747,449.89/1,227.61
  6. Step 6: Final answer
    x = 608.87

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