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Finding the Fourth Proportional to 697.67, 963.50 and 603.96

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Solution

The fourth proportional to 697.67, 963.50 and 603.96 is: 834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.67 : 963.50 = 603.96 : x
  2. Step 2: Convert to fraction form
    697.67/963.50 = 603.96/x
  3. Step 3: Cross multiply
    697.67x = 963.50 × 603.96
  4. Step 4: Simplify right side
    697.67x = 581,912.44
  5. Step 5: Solve for x
    x = 581,912.44/697.67
  6. Step 6: Final answer
    x = 834.09

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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.