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Finding the Fourth Proportional to 1,091.24, 1,636.80 and 360.83

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Solution

The fourth proportional to 1,091.24, 1,636.80 and 360.83 is: 541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.24 : 1,636.80 = 360.83 : x
  2. Step 2: Convert to fraction form
    1,091.24/1,636.80 = 360.83/x
  3. Step 3: Cross multiply
    1,091.24x = 1,636.80 × 360.83
  4. Step 4: Simplify right side
    1,091.24x = 590,598.36
  5. Step 5: Solve for x
    x = 590,598.36/1,091.24
  6. Step 6: Final answer
    x = 541.22

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