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Finding the Fourth Proportional to 539.13, 809.51 and 519.49

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Solution

The fourth proportional to 539.13, 809.51 and 519.49 is: 780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.13 : 809.51 = 519.49 : x
  2. Step 2: Convert to fraction form
    539.13/809.51 = 519.49/x
  3. Step 3: Cross multiply
    539.13x = 809.51 × 519.49
  4. Step 4: Simplify right side
    539.13x = 420,532.35
  5. Step 5: Solve for x
    x = 420,532.35/539.13
  6. Step 6: Final answer
    x = 780.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.