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Finding the Fourth Proportional to 598.11, 825.11 and 519.33

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Solution

The fourth proportional to 598.11, 825.11 and 519.33 is: 716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.11 : 825.11 = 519.33 : x
  2. Step 2: Convert to fraction form
    598.11/825.11 = 519.33/x
  3. Step 3: Cross multiply
    598.11x = 825.11 × 519.33
  4. Step 4: Simplify right side
    598.11x = 428,501.78
  5. Step 5: Solve for x
    x = 428,501.78/598.11
  6. Step 6: Final answer
    x = 716.43

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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.