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Finding the Fourth Proportional to 563.13, 839.37 and 518.49

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Solution

The fourth proportional to 563.13, 839.37 and 518.49 is: 772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.13 : 839.37 = 518.49 : x
  2. Step 2: Convert to fraction form
    563.13/839.37 = 518.49/x
  3. Step 3: Cross multiply
    563.13x = 839.37 × 518.49
  4. Step 4: Simplify right side
    563.13x = 435,204.95
  5. Step 5: Solve for x
    x = 435,204.95/563.13
  6. Step 6: Final answer
    x = 772.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.