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Finding the Fourth Proportional to 1,514.62, 2,272.07 and 418.99

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Solution

The fourth proportional to 1,514.62, 2,272.07 and 418.99 is: 628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.62 : 2,272.07 = 418.99 : x
  2. Step 2: Convert to fraction form
    1,514.62/2,272.07 = 418.99/x
  3. Step 3: Cross multiply
    1,514.62x = 2,272.07 × 418.99
  4. Step 4: Simplify right side
    1,514.62x = 951,974.61
  5. Step 5: Solve for x
    x = 951,974.61/1,514.62
  6. Step 6: Final answer
    x = 628.52

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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.