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Finding the Fourth Proportional to 1,279.82, 1,920.09 and 414.20

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Solution

The fourth proportional to 1,279.82, 1,920.09 and 414.20 is: 621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.82 : 1,920.09 = 414.20 : x
  2. Step 2: Convert to fraction form
    1,279.82/1,920.09 = 414.20/x
  3. Step 3: Cross multiply
    1,279.82x = 1,920.09 × 414.20
  4. Step 4: Simplify right side
    1,279.82x = 795,301.28
  5. Step 5: Solve for x
    x = 795,301.28/1,279.82
  6. Step 6: Final answer
    x = 621.42

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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.