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Finding the Fourth Proportional to 738.36, 1,107.78 and 519

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Solution

The fourth proportional to 738.36, 1,107.78 and 519 is: 778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.36 : 1,107.78 = 519 : x
  2. Step 2: Convert to fraction form
    738.36/1,107.78 = 519/x
  3. Step 3: Cross multiply
    738.36x = 1,107.78 × 519
  4. Step 4: Simplify right side
    738.36x = 574,937.82
  5. Step 5: Solve for x
    x = 574,937.82/738.36
  6. Step 6: Final answer
    x = 778.67

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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.