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Finding the Fourth Proportional to 1,178.14, 1,764.48 and 1,137.14

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Solution

The fourth proportional to 1,178.14, 1,764.48 and 1,137.14 is: 1,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.14 : 1,764.48 = 1,137.14 : x
  2. Step 2: Convert to fraction form
    1,178.14/1,764.48 = 1,137.14/x
  3. Step 3: Cross multiply
    1,178.14x = 1,764.48 × 1,137.14
  4. Step 4: Simplify right side
    1,178.14x = 2,006,446.28
  5. Step 5: Solve for x
    x = 2,006,446.28/1,178.14
  6. Step 6: Final answer
    x = 1,703.06

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