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Finding the Fourth Proportional to 1,729.57, 2,594.50 and 559.12

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Solution

The fourth proportional to 1,729.57, 2,594.50 and 559.12 is: 838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.57 : 2,594.50 = 559.12 : x
  2. Step 2: Convert to fraction form
    1,729.57/2,594.50 = 559.12/x
  3. Step 3: Cross multiply
    1,729.57x = 2,594.50 × 559.12
  4. Step 4: Simplify right side
    1,729.57x = 1,450,636.84
  5. Step 5: Solve for x
    x = 1,450,636.84/1,729.57
  6. Step 6: Final answer
    x = 838.73

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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.