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Finding the Fourth Proportional to 853.99, 1,279.19 and 414.61

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Solution

The fourth proportional to 853.99, 1,279.19 and 414.61 is: 621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.99 : 1,279.19 = 414.61 : x
  2. Step 2: Convert to fraction form
    853.99/1,279.19 = 414.61/x
  3. Step 3: Cross multiply
    853.99x = 1,279.19 × 414.61
  4. Step 4: Simplify right side
    853.99x = 530,362.80
  5. Step 5: Solve for x
    x = 530,362.80/853.99
  6. Step 6: Final answer
    x = 621.04

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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.