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Finding the Fourth Proportional to 1,493.22, 2,239.26 and 519.06

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Solution

The fourth proportional to 1,493.22, 2,239.26 and 519.06 is: 778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.22 : 2,239.26 = 519.06 : x
  2. Step 2: Convert to fraction form
    1,493.22/2,239.26 = 519.06/x
  3. Step 3: Cross multiply
    1,493.22x = 2,239.26 × 519.06
  4. Step 4: Simplify right side
    1,493.22x = 1,162,310.30
  5. Step 5: Solve for x
    x = 1,162,310.30/1,493.22
  6. Step 6: Final answer
    x = 778.39

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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.