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Finding the Fourth Proportional to 1,213.27, 1,820.00 and 519.95

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Solution

The fourth proportional to 1,213.27, 1,820.00 and 519.95 is: 779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.27 : 1,820.00 = 519.95 : x
  2. Step 2: Convert to fraction form
    1,213.27/1,820.00 = 519.95/x
  3. Step 3: Cross multiply
    1,213.27x = 1,820.00 × 519.95
  4. Step 4: Simplify right side
    1,213.27x = 946,314.85
  5. Step 5: Solve for x
    x = 946,314.85/1,213.27
  6. Step 6: Final answer
    x = 779.97

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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.