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Finding the Fourth Proportional to 666.56, 1,000.20 and 406.88

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Solution

The fourth proportional to 666.56, 1,000.20 and 406.88 is: 610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 1,000.20 = 406.88 : x
  2. Step 2: Convert to fraction form
    666.56/1,000.20 = 406.88/x
  3. Step 3: Cross multiply
    666.56x = 1,000.20 × 406.88
  4. Step 4: Simplify right side
    666.56x = 406,961.38
  5. Step 5: Solve for x
    x = 406,961.38/666.56
  6. Step 6: Final answer
    x = 610.54

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