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Finding the Fourth Proportional to 563.78, 778.12 and 519.86

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Solution

The fourth proportional to 563.78, 778.12 and 519.86 is: 717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.78 : 778.12 = 519.86 : x
  2. Step 2: Convert to fraction form
    563.78/778.12 = 519.86/x
  3. Step 3: Cross multiply
    563.78x = 778.12 × 519.86
  4. Step 4: Simplify right side
    563.78x = 404,513.46
  5. Step 5: Solve for x
    x = 404,513.46/563.78
  6. Step 6: Final answer
    x = 717.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.