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Finding the Fourth Proportional to 1,729.20, 2,593.98 and 496.65

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Solution

The fourth proportional to 1,729.20, 2,593.98 and 496.65 is: 745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.20 : 2,593.98 = 496.65 : x
  2. Step 2: Convert to fraction form
    1,729.20/2,593.98 = 496.65/x
  3. Step 3: Cross multiply
    1,729.20x = 2,593.98 × 496.65
  4. Step 4: Simplify right side
    1,729.20x = 1,288,300.17
  5. Step 5: Solve for x
    x = 1,288,300.17/1,729.20
  6. Step 6: Final answer
    x = 745.03

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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.