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Finding the Fourth Proportional to 853.85, 1,279.85 and 414.17

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Solution

The fourth proportional to 853.85, 1,279.85 and 414.17 is: 620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.85 : 1,279.85 = 414.17 : x
  2. Step 2: Convert to fraction form
    853.85/1,279.85 = 414.17/x
  3. Step 3: Cross multiply
    853.85x = 1,279.85 × 414.17
  4. Step 4: Simplify right side
    853.85x = 530,075.47
  5. Step 5: Solve for x
    x = 530,075.47/853.85
  6. Step 6: Final answer
    x = 620.81

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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.