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Finding the Fourth Proportional to 1,212.37, 1,817.34 and 519.49

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Solution

The fourth proportional to 1,212.37, 1,817.34 and 519.49 is: 778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.37 : 1,817.34 = 519.49 : x
  2. Step 2: Convert to fraction form
    1,212.37/1,817.34 = 519.49/x
  3. Step 3: Cross multiply
    1,212.37x = 1,817.34 × 519.49
  4. Step 4: Simplify right side
    1,212.37x = 944,089.96
  5. Step 5: Solve for x
    x = 944,089.96/1,212.37
  6. Step 6: Final answer
    x = 778.71

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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.