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Finding the Fourth Proportional to 519.54, 780.81 and 514.05

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Solution

The fourth proportional to 519.54, 780.81 and 514.05 is: 772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.54 : 780.81 = 514.05 : x
  2. Step 2: Convert to fraction form
    519.54/780.81 = 514.05/x
  3. Step 3: Cross multiply
    519.54x = 780.81 × 514.05
  4. Step 4: Simplify right side
    519.54x = 401,375.38
  5. Step 5: Solve for x
    x = 401,375.38/519.54
  6. Step 6: Final answer
    x = 772.56

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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.