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Finding the Fourth Proportional to 1,199.78, 1,800.89 and 1,153.08

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Solution

The fourth proportional to 1,199.78, 1,800.89 and 1,153.08 is: 1,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.78 : 1,800.89 = 1,153.08 : x
  2. Step 2: Convert to fraction form
    1,199.78/1,800.89 = 1,153.08/x
  3. Step 3: Cross multiply
    1,199.78x = 1,800.89 × 1,153.08
  4. Step 4: Simplify right side
    1,199.78x = 2,076,570.24
  5. Step 5: Solve for x
    x = 2,076,570.24/1,199.78
  6. Step 6: Final answer
    x = 1,730.79

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