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Finding the Fourth Proportional to 1,098.63, 1,648.94 and 578.97

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Solution

The fourth proportional to 1,098.63, 1,648.94 and 578.97 is: 868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.63 : 1,648.94 = 578.97 : x
  2. Step 2: Convert to fraction form
    1,098.63/1,648.94 = 578.97/x
  3. Step 3: Cross multiply
    1,098.63x = 1,648.94 × 578.97
  4. Step 4: Simplify right side
    1,098.63x = 954,683.90
  5. Step 5: Solve for x
    x = 954,683.90/1,098.63
  6. Step 6: Final answer
    x = 868.98

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