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Finding the Fourth Proportional to 997, 1,375.56 and 577.36

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Solution

The fourth proportional to 997, 1,375.56 and 577.36 is: 796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    997 : 1,375.56 = 577.36 : x
  2. Step 2: Convert to fraction form
    997/1,375.56 = 577.36/x
  3. Step 3: Cross multiply
    997x = 1,375.56 × 577.36
  4. Step 4: Simplify right side
    997x = 794,193.32
  5. Step 5: Solve for x
    x = 794,193.32/997
  6. Step 6: Final answer
    x = 796.58

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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.