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Finding the Fourth Proportional to 657.72, 984.96 and 533.79

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Solution

The fourth proportional to 657.72, 984.96 and 533.79 is: 799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.72 : 984.96 = 533.79 : x
  2. Step 2: Convert to fraction form
    657.72/984.96 = 533.79/x
  3. Step 3: Cross multiply
    657.72x = 984.96 × 533.79
  4. Step 4: Simplify right side
    657.72x = 525,761.80
  5. Step 5: Solve for x
    x = 525,761.80/657.72
  6. Step 6: Final answer
    x = 799.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.