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Finding the Fourth Proportional to 1,123.02, 1,685.52 and 813.42

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Solution

The fourth proportional to 1,123.02, 1,685.52 and 813.42 is: 1,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.02 : 1,685.52 = 813.42 : x
  2. Step 2: Convert to fraction form
    1,123.02/1,685.52 = 813.42/x
  3. Step 3: Cross multiply
    1,123.02x = 1,685.52 × 813.42
  4. Step 4: Simplify right side
    1,123.02x = 1,371,035.68
  5. Step 5: Solve for x
    x = 1,371,035.68/1,123.02
  6. Step 6: Final answer
    x = 1,220.85

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