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Finding the Fourth Proportional to 1,729.90, 2,594.25 and 559.69

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Solution

The fourth proportional to 1,729.90, 2,594.25 and 559.69 is: 839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.90 : 2,594.25 = 559.69 : x
  2. Step 2: Convert to fraction form
    1,729.90/2,594.25 = 559.69/x
  3. Step 3: Cross multiply
    1,729.90x = 2,594.25 × 559.69
  4. Step 4: Simplify right side
    1,729.90x = 1,451,975.78
  5. Step 5: Solve for x
    x = 1,451,975.78/1,729.90
  6. Step 6: Final answer
    x = 839.34

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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.