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Finding the Fourth Proportional to 1,274, 1,912.36 and 543.92

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Solution

The fourth proportional to 1,274, 1,912.36 and 543.92 is: 816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274 : 1,912.36 = 543.92 : x
  2. Step 2: Convert to fraction form
    1,274/1,912.36 = 543.92/x
  3. Step 3: Cross multiply
    1,274x = 1,912.36 × 543.92
  4. Step 4: Simplify right side
    1,274x = 1,040,170.85
  5. Step 5: Solve for x
    x = 1,040,170.85/1,274
  6. Step 6: Final answer
    x = 816.46

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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.