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Finding the Fourth Proportional to 792.12, 1,188.38 and 639.43

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Solution

The fourth proportional to 792.12, 1,188.38 and 639.43 is: 959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.12 : 1,188.38 = 639.43 : x
  2. Step 2: Convert to fraction form
    792.12/1,188.38 = 639.43/x
  3. Step 3: Cross multiply
    792.12x = 1,188.38 × 639.43
  4. Step 4: Simplify right side
    792.12x = 759,882.63
  5. Step 5: Solve for x
    x = 759,882.63/792.12
  6. Step 6: Final answer
    x = 959.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.