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Finding the Fourth Proportional to 997.47, 1,375.40 and 682.79

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Solution

The fourth proportional to 997.47, 1,375.40 and 682.79 is: 941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.47 : 1,375.40 = 682.79 : x
  2. Step 2: Convert to fraction form
    997.47/1,375.40 = 682.79/x
  3. Step 3: Cross multiply
    997.47x = 1,375.40 × 682.79
  4. Step 4: Simplify right side
    997.47x = 939,104.20
  5. Step 5: Solve for x
    x = 939,104.20/997.47
  6. Step 6: Final answer
    x = 941.49

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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.