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Finding the Fourth Proportional to 1,267.62, 1,902.12 and 537.71

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Solution

The fourth proportional to 1,267.62, 1,902.12 and 537.71 is: 806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.62 : 1,902.12 = 537.71 : x
  2. Step 2: Convert to fraction form
    1,267.62/1,902.12 = 537.71/x
  3. Step 3: Cross multiply
    1,267.62x = 1,902.12 × 537.71
  4. Step 4: Simplify right side
    1,267.62x = 1,022,777.42
  5. Step 5: Solve for x
    x = 1,022,777.42/1,267.62
  6. Step 6: Final answer
    x = 806.85

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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.