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Finding the Fourth Proportional to 874.26, 1,310.82 and 326.13

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Solution

The fourth proportional to 874.26, 1,310.82 and 326.13 is: 488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.26 : 1,310.82 = 326.13 : x
  2. Step 2: Convert to fraction form
    874.26/1,310.82 = 326.13/x
  3. Step 3: Cross multiply
    874.26x = 1,310.82 × 326.13
  4. Step 4: Simplify right side
    874.26x = 427,491.59
  5. Step 5: Solve for x
    x = 427,491.59/874.26
  6. Step 6: Final answer
    x = 488.98

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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.