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Finding the Fourth Proportional to 1,153.76, 1,729.67 and 537.14

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Solution

The fourth proportional to 1,153.76, 1,729.67 and 537.14 is: 805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.76 : 1,729.67 = 537.14 : x
  2. Step 2: Convert to fraction form
    1,153.76/1,729.67 = 537.14/x
  3. Step 3: Cross multiply
    1,153.76x = 1,729.67 × 537.14
  4. Step 4: Simplify right side
    1,153.76x = 929,067.64
  5. Step 5: Solve for x
    x = 929,067.64/1,153.76
  6. Step 6: Final answer
    x = 805.26

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