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Finding the Fourth Proportional to 1,729.05, 2,593.10 and 496.13

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Solution

The fourth proportional to 1,729.05, 2,593.10 and 496.13 is: 744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.05 : 2,593.10 = 496.13 : x
  2. Step 2: Convert to fraction form
    1,729.05/2,593.10 = 496.13/x
  3. Step 3: Cross multiply
    1,729.05x = 2,593.10 × 496.13
  4. Step 4: Simplify right side
    1,729.05x = 1,286,500.19
  5. Step 5: Solve for x
    x = 1,286,500.19/1,729.05
  6. Step 6: Final answer
    x = 744.05

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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.