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Finding the Fourth Proportional to 1,122.54, 1,683.78 and 472.80

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Solution

The fourth proportional to 1,122.54, 1,683.78 and 472.80 is: 709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.54 : 1,683.78 = 472.80 : x
  2. Step 2: Convert to fraction form
    1,122.54/1,683.78 = 472.80/x
  3. Step 3: Cross multiply
    1,122.54x = 1,683.78 × 472.80
  4. Step 4: Simplify right side
    1,122.54x = 796,091.18
  5. Step 5: Solve for x
    x = 796,091.18/1,122.54
  6. Step 6: Final answer
    x = 709.19

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