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Finding the Fourth Proportional to 1,367.98, 2,049 and 848.12

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Solution

The fourth proportional to 1,367.98, 2,049 and 848.12 is: 1,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.98 : 2,049 = 848.12 : x
  2. Step 2: Convert to fraction form
    1,367.98/2,049 = 848.12/x
  3. Step 3: Cross multiply
    1,367.98x = 2,049 × 848.12
  4. Step 4: Simplify right side
    1,367.98x = 1,737,797.88
  5. Step 5: Solve for x
    x = 1,737,797.88/1,367.98
  6. Step 6: Final answer
    x = 1,270.34

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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.