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Finding the Fourth Proportional to 580.82, 871.43 and 519.57

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Solution

The fourth proportional to 580.82, 871.43 and 519.57 is: 779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.82 : 871.43 = 519.57 : x
  2. Step 2: Convert to fraction form
    580.82/871.43 = 519.57/x
  3. Step 3: Cross multiply
    580.82x = 871.43 × 519.57
  4. Step 4: Simplify right side
    580.82x = 452,766.29
  5. Step 5: Solve for x
    x = 452,766.29/580.82
  6. Step 6: Final answer
    x = 779.54

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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.