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Finding the Fourth Proportional to 520.95, 782.17 and 511.73

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Solution

The fourth proportional to 520.95, 782.17 and 511.73 is: 768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.95 : 782.17 = 511.73 : x
  2. Step 2: Convert to fraction form
    520.95/782.17 = 511.73/x
  3. Step 3: Cross multiply
    520.95x = 782.17 × 511.73
  4. Step 4: Simplify right side
    520.95x = 400,259.85
  5. Step 5: Solve for x
    x = 400,259.85/520.95
  6. Step 6: Final answer
    x = 768.33

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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.