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Finding the Fourth Proportional to 1,729.09, 2,593.76 and 496.61

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Solution

The fourth proportional to 1,729.09, 2,593.76 and 496.61 is: 744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.09 : 2,593.76 = 496.61 : x
  2. Step 2: Convert to fraction form
    1,729.09/2,593.76 = 496.61/x
  3. Step 3: Cross multiply
    1,729.09x = 2,593.76 × 496.61
  4. Step 4: Simplify right side
    1,729.09x = 1,288,087.15
  5. Step 5: Solve for x
    x = 1,288,087.15/1,729.09
  6. Step 6: Final answer
    x = 744.95

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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.