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Finding the Fourth Proportional to 844.24, 1,267.20 and 411.76

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Solution

The fourth proportional to 844.24, 1,267.20 and 411.76 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.24 : 1,267.20 = 411.76 : x
  2. Step 2: Convert to fraction form
    844.24/1,267.20 = 411.76/x
  3. Step 3: Cross multiply
    844.24x = 1,267.20 × 411.76
  4. Step 4: Simplify right side
    844.24x = 521,782.27
  5. Step 5: Solve for x
    x = 521,782.27/844.24
  6. Step 6: Final answer
    x = 618.05

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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.