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Finding the Fourth Proportional to 697.96, 1,049.82 and 611.56

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Solution

The fourth proportional to 697.96, 1,049.82 and 611.56 is: 919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.96 : 1,049.82 = 611.56 : x
  2. Step 2: Convert to fraction form
    697.96/1,049.82 = 611.56/x
  3. Step 3: Cross multiply
    697.96x = 1,049.82 × 611.56
  4. Step 4: Simplify right side
    697.96x = 642,027.92
  5. Step 5: Solve for x
    x = 642,027.92/697.96
  6. Step 6: Final answer
    x = 919.86

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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.