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Finding the Fourth Proportional to 844.12, 1,267.13 and 411.58

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Solution

The fourth proportional to 844.12, 1,267.13 and 411.58 is: 617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.12 : 1,267.13 = 411.58 : x
  2. Step 2: Convert to fraction form
    844.12/1,267.13 = 411.58/x
  3. Step 3: Cross multiply
    844.12x = 1,267.13 × 411.58
  4. Step 4: Simplify right side
    844.12x = 521,525.37
  5. Step 5: Solve for x
    x = 521,525.37/844.12
  6. Step 6: Final answer
    x = 617.83

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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.