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Finding the Fourth Proportional to 1,729.30, 2,593.96 and 496.76

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Solution

The fourth proportional to 1,729.30, 2,593.96 and 496.76 is: 745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.30 : 2,593.96 = 496.76 : x
  2. Step 2: Convert to fraction form
    1,729.30/2,593.96 = 496.76/x
  3. Step 3: Cross multiply
    1,729.30x = 2,593.96 × 496.76
  4. Step 4: Simplify right side
    1,729.30x = 1,288,575.57
  5. Step 5: Solve for x
    x = 1,288,575.57/1,729.30
  6. Step 6: Final answer
    x = 745.14

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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.