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Finding the Fourth Proportional to 1,612.82, 2,418.99 and 516.98

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Solution

The fourth proportional to 1,612.82, 2,418.99 and 516.98 is: 775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.82 : 2,418.99 = 516.98 : x
  2. Step 2: Convert to fraction form
    1,612.82/2,418.99 = 516.98/x
  3. Step 3: Cross multiply
    1,612.82x = 2,418.99 × 516.98
  4. Step 4: Simplify right side
    1,612.82x = 1,250,569.45
  5. Step 5: Solve for x
    x = 1,250,569.45/1,612.82
  6. Step 6: Final answer
    x = 775.39

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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.