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Finding the Fourth Proportional to 853.48, 1,279.13 and 414.83

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Solution

The fourth proportional to 853.48, 1,279.13 and 414.83 is: 621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.48 : 1,279.13 = 414.83 : x
  2. Step 2: Convert to fraction form
    853.48/1,279.13 = 414.83/x
  3. Step 3: Cross multiply
    853.48x = 1,279.13 × 414.83
  4. Step 4: Simplify right side
    853.48x = 530,625.73
  5. Step 5: Solve for x
    x = 530,625.73/853.48
  6. Step 6: Final answer
    x = 621.72

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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.