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Finding the Fourth Proportional to 1,729.18, 2,593.86 and 496.76

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Solution

The fourth proportional to 1,729.18, 2,593.86 and 496.76 is: 745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.18 : 2,593.86 = 496.76 : x
  2. Step 2: Convert to fraction form
    1,729.18/2,593.86 = 496.76/x
  3. Step 3: Cross multiply
    1,729.18x = 2,593.86 × 496.76
  4. Step 4: Simplify right side
    1,729.18x = 1,288,525.89
  5. Step 5: Solve for x
    x = 1,288,525.89/1,729.18
  6. Step 6: Final answer
    x = 745.17

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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.