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Finding the Fourth Proportional to 1,729.29, 2,594.45 and 559.49

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Solution

The fourth proportional to 1,729.29, 2,594.45 and 559.49 is: 839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.29 : 2,594.45 = 559.49 : x
  2. Step 2: Convert to fraction form
    1,729.29/2,594.45 = 559.49/x
  3. Step 3: Cross multiply
    1,729.29x = 2,594.45 × 559.49
  4. Step 4: Simplify right side
    1,729.29x = 1,451,553.06
  5. Step 5: Solve for x
    x = 1,451,553.06/1,729.29
  6. Step 6: Final answer
    x = 839.39

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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.