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Finding the Fourth Proportional to 1,729.58, 2,593.61 and 496.71

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Solution

The fourth proportional to 1,729.58, 2,593.61 and 496.71 is: 744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.58 : 2,593.61 = 496.71 : x
  2. Step 2: Convert to fraction form
    1,729.58/2,593.61 = 496.71/x
  3. Step 3: Cross multiply
    1,729.58x = 2,593.61 × 496.71
  4. Step 4: Simplify right side
    1,729.58x = 1,288,272.02
  5. Step 5: Solve for x
    x = 1,288,272.02/1,729.58
  6. Step 6: Final answer
    x = 744.85

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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.