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Finding the Fourth Proportional to 706.81, 975 and 567.09

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Solution

The fourth proportional to 706.81, 975 and 567.09 is: 782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.81 : 975 = 567.09 : x
  2. Step 2: Convert to fraction form
    706.81/975 = 567.09/x
  3. Step 3: Cross multiply
    706.81x = 975 × 567.09
  4. Step 4: Simplify right side
    706.81x = 552,912.75
  5. Step 5: Solve for x
    x = 552,912.75/706.81
  6. Step 6: Final answer
    x = 782.27

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