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Finding the Fourth Proportional to 1,178.74, 1,764.46 and 1,003.78

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Solution

The fourth proportional to 1,178.74, 1,764.46 and 1,003.78 is: 1,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.74 : 1,764.46 = 1,003.78 : x
  2. Step 2: Convert to fraction form
    1,178.74/1,764.46 = 1,003.78/x
  3. Step 3: Cross multiply
    1,178.74x = 1,764.46 × 1,003.78
  4. Step 4: Simplify right side
    1,178.74x = 1,771,129.66
  5. Step 5: Solve for x
    x = 1,771,129.66/1,178.74
  6. Step 6: Final answer
    x = 1,502.56

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