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Finding the Fourth Proportional to 1,122.76, 1,683.67 and 464.73

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Solution

The fourth proportional to 1,122.76, 1,683.67 and 464.73 is: 696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.76 : 1,683.67 = 464.73 : x
  2. Step 2: Convert to fraction form
    1,122.76/1,683.67 = 464.73/x
  3. Step 3: Cross multiply
    1,122.76x = 1,683.67 × 464.73
  4. Step 4: Simplify right side
    1,122.76x = 782,451.96
  5. Step 5: Solve for x
    x = 782,451.96/1,122.76
  6. Step 6: Final answer
    x = 696.90

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