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Finding the Fourth Proportional to 1,744.21, 2,616.78 and 511.75

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Solution

The fourth proportional to 1,744.21, 2,616.78 and 511.75 is: 767.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.21 : 2,616.78 = 511.75 : x
  2. Step 2: Convert to fraction form
    1,744.21/2,616.78 = 511.75/x
  3. Step 3: Cross multiply
    1,744.21x = 2,616.78 × 511.75
  4. Step 4: Simplify right side
    1,744.21x = 1,339,137.17
  5. Step 5: Solve for x
    x = 1,339,137.17/1,744.21
  6. Step 6: Final answer
    x = 767.76

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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.