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Finding the Fourth Proportional to 1,493.22, 2,239.31 and 519.11

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Solution

The fourth proportional to 1,493.22, 2,239.31 and 519.11 is: 778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.22 : 2,239.31 = 519.11 : x
  2. Step 2: Convert to fraction form
    1,493.22/2,239.31 = 519.11/x
  3. Step 3: Cross multiply
    1,493.22x = 2,239.31 × 519.11
  4. Step 4: Simplify right side
    1,493.22x = 1,162,434.42
  5. Step 5: Solve for x
    x = 1,162,434.42/1,493.22
  6. Step 6: Final answer
    x = 778.47

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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.