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Finding the Fourth Proportional to 523.55, 780.70 and 518.86

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Solution

The fourth proportional to 523.55, 780.70 and 518.86 is: 773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.55 : 780.70 = 518.86 : x
  2. Step 2: Convert to fraction form
    523.55/780.70 = 518.86/x
  3. Step 3: Cross multiply
    523.55x = 780.70 × 518.86
  4. Step 4: Simplify right side
    523.55x = 405,075.30
  5. Step 5: Solve for x
    x = 405,075.30/523.55
  6. Step 6: Final answer
    x = 773.71

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