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Finding the Fourth Proportional to 1,109.92, 1,664.76 and 288.16

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Solution

The fourth proportional to 1,109.92, 1,664.76 and 288.16 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.92 : 1,664.76 = 288.16 : x
  2. Step 2: Convert to fraction form
    1,109.92/1,664.76 = 288.16/x
  3. Step 3: Cross multiply
    1,109.92x = 1,664.76 × 288.16
  4. Step 4: Simplify right side
    1,109.92x = 479,717.24
  5. Step 5: Solve for x
    x = 479,717.24/1,109.92
  6. Step 6: Final answer
    x = 432.21

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