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Finding the Fourth Proportional to 1,094.86, 1,642.25 and 364.96

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Solution

The fourth proportional to 1,094.86, 1,642.25 and 364.96 is: 547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.86 : 1,642.25 = 364.96 : x
  2. Step 2: Convert to fraction form
    1,094.86/1,642.25 = 364.96/x
  3. Step 3: Cross multiply
    1,094.86x = 1,642.25 × 364.96
  4. Step 4: Simplify right side
    1,094.86x = 599,355.56
  5. Step 5: Solve for x
    x = 599,355.56/1,094.86
  6. Step 6: Final answer
    x = 547.43

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