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Finding the Fourth Proportional to 1,200.02, 1,798.41 and 1,057.46

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Solution

The fourth proportional to 1,200.02, 1,798.41 and 1,057.46 is: 1,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.02 : 1,798.41 = 1,057.46 : x
  2. Step 2: Convert to fraction form
    1,200.02/1,798.41 = 1,057.46/x
  3. Step 3: Cross multiply
    1,200.02x = 1,798.41 × 1,057.46
  4. Step 4: Simplify right side
    1,200.02x = 1,901,746.64
  5. Step 5: Solve for x
    x = 1,901,746.64/1,200.02
  6. Step 6: Final answer
    x = 1,584.76

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