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Finding the Fourth Proportional to 1,178, 1,767.72 and 494

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Solution

The fourth proportional to 1,178, 1,767.72 and 494 is: 741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178 : 1,767.72 = 494 : x
  2. Step 2: Convert to fraction form
    1,178/1,767.72 = 494/x
  3. Step 3: Cross multiply
    1,178x = 1,767.72 × 494
  4. Step 4: Simplify right side
    1,178x = 873,253.68
  5. Step 5: Solve for x
    x = 873,253.68/1,178
  6. Step 6: Final answer
    x = 741.30

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