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Finding the Fourth Proportional to 635.57, 877.26 and 596.85

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Solution

The fourth proportional to 635.57, 877.26 and 596.85 is: 823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.57 : 877.26 = 596.85 : x
  2. Step 2: Convert to fraction form
    635.57/877.26 = 596.85/x
  3. Step 3: Cross multiply
    635.57x = 877.26 × 596.85
  4. Step 4: Simplify right side
    635.57x = 523,589.65
  5. Step 5: Solve for x
    x = 523,589.65/635.57
  6. Step 6: Final answer
    x = 823.81

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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.