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Finding the Fourth Proportional to 1,089.76, 1,635 and 359.86

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Solution

The fourth proportional to 1,089.76, 1,635 and 359.86 is: 539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.76 : 1,635 = 359.86 : x
  2. Step 2: Convert to fraction form
    1,089.76/1,635 = 359.86/x
  3. Step 3: Cross multiply
    1,089.76x = 1,635 × 359.86
  4. Step 4: Simplify right side
    1,089.76x = 588,371.10
  5. Step 5: Solve for x
    x = 588,371.10/1,089.76
  6. Step 6: Final answer
    x = 539.91

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