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Finding the Fourth Proportional to 519, 778.81 and 189.91

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Solution

The fourth proportional to 519, 778.81 and 189.91 is: 284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 778.81 = 189.91 : x
  2. Step 2: Convert to fraction form
    519/778.81 = 189.91/x
  3. Step 3: Cross multiply
    519x = 778.81 × 189.91
  4. Step 4: Simplify right side
    519x = 147,898.96
  5. Step 5: Solve for x
    x = 147,898.96/519
  6. Step 6: Final answer
    x = 284.97

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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.