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Finding the Fourth Proportional to 648.52, 972.78 and 520

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Solution

The fourth proportional to 648.52, 972.78 and 520 is: 780

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.52 : 972.78 = 520 : x
  2. Step 2: Convert to fraction form
    648.52/972.78 = 520/x
  3. Step 3: Cross multiply
    648.52x = 972.78 × 520
  4. Step 4: Simplify right side
    648.52x = 505,845.60
  5. Step 5: Solve for x
    x = 505,845.60/648.52
  6. Step 6: Final answer
    x = 780

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