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Finding the Fourth Proportional to 687.44, 946.24 and 599.96

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Solution

The fourth proportional to 687.44, 946.24 and 599.96 is: 825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.44 : 946.24 = 599.96 : x
  2. Step 2: Convert to fraction form
    687.44/946.24 = 599.96/x
  3. Step 3: Cross multiply
    687.44x = 946.24 × 599.96
  4. Step 4: Simplify right side
    687.44x = 567,706.15
  5. Step 5: Solve for x
    x = 567,706.15/687.44
  6. Step 6: Final answer
    x = 825.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.