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Finding the Fourth Proportional to 1,119.78, 1,679.85 and 470.55

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Solution

The fourth proportional to 1,119.78, 1,679.85 and 470.55 is: 705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.78 : 1,679.85 = 470.55 : x
  2. Step 2: Convert to fraction form
    1,119.78/1,679.85 = 470.55/x
  3. Step 3: Cross multiply
    1,119.78x = 1,679.85 × 470.55
  4. Step 4: Simplify right side
    1,119.78x = 790,453.42
  5. Step 5: Solve for x
    x = 790,453.42/1,119.78
  6. Step 6: Final answer
    x = 705.90

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