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Finding the Fourth Proportional to 596.73, 822.77 and 513.69

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Solution

The fourth proportional to 596.73, 822.77 and 513.69 is: 708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.73 : 822.77 = 513.69 : x
  2. Step 2: Convert to fraction form
    596.73/822.77 = 513.69/x
  3. Step 3: Cross multiply
    596.73x = 822.77 × 513.69
  4. Step 4: Simplify right side
    596.73x = 422,650.01
  5. Step 5: Solve for x
    x = 422,650.01/596.73
  6. Step 6: Final answer
    x = 708.28

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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.