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Finding the Fourth Proportional to 1,493.19, 2,239.79 and 519.30

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Solution

The fourth proportional to 1,493.19, 2,239.79 and 519.30 is: 778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.19 : 2,239.79 = 519.30 : x
  2. Step 2: Convert to fraction form
    1,493.19/2,239.79 = 519.30/x
  3. Step 3: Cross multiply
    1,493.19x = 2,239.79 × 519.30
  4. Step 4: Simplify right side
    1,493.19x = 1,163,120.35
  5. Step 5: Solve for x
    x = 1,163,120.35/1,493.19
  6. Step 6: Final answer
    x = 778.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.