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Finding the Fourth Proportional to 681.62, 1,027.62 and 634.64

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Solution

The fourth proportional to 681.62, 1,027.62 and 634.64 is: 956.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.62 : 1,027.62 = 634.64 : x
  2. Step 2: Convert to fraction form
    681.62/1,027.62 = 634.64/x
  3. Step 3: Cross multiply
    681.62x = 1,027.62 × 634.64
  4. Step 4: Simplify right side
    681.62x = 652,163.62
  5. Step 5: Solve for x
    x = 652,163.62/681.62
  6. Step 6: Final answer
    x = 956.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.