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Finding the Fourth Proportional to 1,196.18, 1,792.44 and 546.15

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Solution

The fourth proportional to 1,196.18, 1,792.44 and 546.15 is: 818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.18 : 1,792.44 = 546.15 : x
  2. Step 2: Convert to fraction form
    1,196.18/1,792.44 = 546.15/x
  3. Step 3: Cross multiply
    1,196.18x = 1,792.44 × 546.15
  4. Step 4: Simplify right side
    1,196.18x = 978,938.38
  5. Step 5: Solve for x
    x = 978,938.38/1,196.18
  6. Step 6: Final answer
    x = 818.39

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