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Finding the Fourth Proportional to 768.22, 1,059.33 and 627.28

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Solution

The fourth proportional to 768.22, 1,059.33 and 627.28 is: 864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.22 : 1,059.33 = 627.28 : x
  2. Step 2: Convert to fraction form
    768.22/1,059.33 = 627.28/x
  3. Step 3: Cross multiply
    768.22x = 1,059.33 × 627.28
  4. Step 4: Simplify right side
    768.22x = 664,496.52
  5. Step 5: Solve for x
    x = 664,496.52/768.22
  6. Step 6: Final answer
    x = 864.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.