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Finding the Fourth Proportional to 1,088, 1,632 and 404

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Solution

The fourth proportional to 1,088, 1,632 and 404 is: 606

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088 : 1,632 = 404 : x
  2. Step 2: Convert to fraction form
    1,088/1,632 = 404/x
  3. Step 3: Cross multiply
    1,088x = 1,632 × 404
  4. Step 4: Simplify right side
    1,088x = 659,328
  5. Step 5: Solve for x
    x = 659,328/1,088
  6. Step 6: Final answer
    x = 606

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