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Finding the Fourth Proportional to 1,213.46, 1,818.67 and 519.32

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Solution

The fourth proportional to 1,213.46, 1,818.67 and 519.32 is: 778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.46 : 1,818.67 = 519.32 : x
  2. Step 2: Convert to fraction form
    1,213.46/1,818.67 = 519.32/x
  3. Step 3: Cross multiply
    1,213.46x = 1,818.67 × 519.32
  4. Step 4: Simplify right side
    1,213.46x = 944,467.16
  5. Step 5: Solve for x
    x = 944,467.16/1,213.46
  6. Step 6: Final answer
    x = 778.32

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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.