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Finding the Fourth Proportional to 3,099.29, 4,648.91 and 759.29

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Solution

The fourth proportional to 3,099.29, 4,648.91 and 759.29 is: 1,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.29 : 4,648.91 = 759.29 : x
  2. Step 2: Convert to fraction form
    3,099.29/4,648.91 = 759.29/x
  3. Step 3: Cross multiply
    3,099.29x = 4,648.91 × 759.29
  4. Step 4: Simplify right side
    3,099.29x = 3,529,843.83
  5. Step 5: Solve for x
    x = 3,529,843.83/3,099.29
  6. Step 6: Final answer
    x = 1,138.92

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1.5x scale

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.