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Finding the Fourth Proportional to 1,015.74, 1,523.61 and 527.78

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Solution

The fourth proportional to 1,015.74, 1,523.61 and 527.78 is: 791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.74 : 1,523.61 = 527.78 : x
  2. Step 2: Convert to fraction form
    1,015.74/1,523.61 = 527.78/x
  3. Step 3: Cross multiply
    1,015.74x = 1,523.61 × 527.78
  4. Step 4: Simplify right side
    1,015.74x = 804,134.69
  5. Step 5: Solve for x
    x = 804,134.69/1,015.74
  6. Step 6: Final answer
    x = 791.67

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