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Finding the Fourth Proportional to 1,744.91, 2,616.97 and 511.99

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Solution

The fourth proportional to 1,744.91, 2,616.97 and 511.99 is: 767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.91 : 2,616.97 = 511.99 : x
  2. Step 2: Convert to fraction form
    1,744.91/2,616.97 = 511.99/x
  3. Step 3: Cross multiply
    1,744.91x = 2,616.97 × 511.99
  4. Step 4: Simplify right side
    1,744.91x = 1,339,866.45
  5. Step 5: Solve for x
    x = 1,339,866.45/1,744.91
  6. Step 6: Final answer
    x = 767.87

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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.