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Finding the Fourth Proportional to 844.84, 1,267.26 and 289.54

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Solution

The fourth proportional to 844.84, 1,267.26 and 289.54 is: 434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.84 : 1,267.26 = 289.54 : x
  2. Step 2: Convert to fraction form
    844.84/1,267.26 = 289.54/x
  3. Step 3: Cross multiply
    844.84x = 1,267.26 × 289.54
  4. Step 4: Simplify right side
    844.84x = 366,922.46
  5. Step 5: Solve for x
    x = 366,922.46/844.84
  6. Step 6: Final answer
    x = 434.31

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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.