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Finding the Fourth Proportional to 1,094.56, 1,642.36 and 546.80

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Solution

The fourth proportional to 1,094.56, 1,642.36 and 546.80 is: 820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.56 : 1,642.36 = 546.80 : x
  2. Step 2: Convert to fraction form
    1,094.56/1,642.36 = 546.80/x
  3. Step 3: Cross multiply
    1,094.56x = 1,642.36 × 546.80
  4. Step 4: Simplify right side
    1,094.56x = 898,042.45
  5. Step 5: Solve for x
    x = 898,042.45/1,094.56
  6. Step 6: Final answer
    x = 820.46

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