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Finding the Fourth Proportional to 653.69, 978.80 and 511.56

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Solution

The fourth proportional to 653.69, 978.80 and 511.56 is: 765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.69 : 978.80 = 511.56 : x
  2. Step 2: Convert to fraction form
    653.69/978.80 = 511.56/x
  3. Step 3: Cross multiply
    653.69x = 978.80 × 511.56
  4. Step 4: Simplify right side
    653.69x = 500,710.03
  5. Step 5: Solve for x
    x = 500,710.03/653.69
  6. Step 6: Final answer
    x = 765.97

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