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Finding the Fourth Proportional to 997.23, 1,375.89 and 577.58

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Solution

The fourth proportional to 997.23, 1,375.89 and 577.58 is: 796.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.23 : 1,375.89 = 577.58 : x
  2. Step 2: Convert to fraction form
    997.23/1,375.89 = 577.58/x
  3. Step 3: Cross multiply
    997.23x = 1,375.89 × 577.58
  4. Step 4: Simplify right side
    997.23x = 794,686.55
  5. Step 5: Solve for x
    x = 794,686.55/997.23
  6. Step 6: Final answer
    x = 796.89

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Why These Related Problems?

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