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Finding the Fourth Proportional to 610.54, 843.82 and 577.73

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Solution

The fourth proportional to 610.54, 843.82 and 577.73 is: 798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.54 : 843.82 = 577.73 : x
  2. Step 2: Convert to fraction form
    610.54/843.82 = 577.73/x
  3. Step 3: Cross multiply
    610.54x = 843.82 × 577.73
  4. Step 4: Simplify right side
    610.54x = 487,500.79
  5. Step 5: Solve for x
    x = 487,500.79/610.54
  6. Step 6: Final answer
    x = 798.48

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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.