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Finding the Fourth Proportional to 853.20, 1,279.03 and 414.20

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Solution

The fourth proportional to 853.20, 1,279.03 and 414.20 is: 620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.20 : 1,279.03 = 414.20 : x
  2. Step 2: Convert to fraction form
    853.20/1,279.03 = 414.20/x
  3. Step 3: Cross multiply
    853.20x = 1,279.03 × 414.20
  4. Step 4: Simplify right side
    853.20x = 529,774.23
  5. Step 5: Solve for x
    x = 529,774.23/853.20
  6. Step 6: Final answer
    x = 620.93

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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.