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Finding the Fourth Proportional to 727.76, 1,091.64 and 419.42

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Solution

The fourth proportional to 727.76, 1,091.64 and 419.42 is: 629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.76 : 1,091.64 = 419.42 : x
  2. Step 2: Convert to fraction form
    727.76/1,091.64 = 419.42/x
  3. Step 3: Cross multiply
    727.76x = 1,091.64 × 419.42
  4. Step 4: Simplify right side
    727.76x = 457,850.51
  5. Step 5: Solve for x
    x = 457,850.51/727.76
  6. Step 6: Final answer
    x = 629.12

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