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Finding the Fourth Proportional to 3,299.45, 4,949.94 and 959.49

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Solution

The fourth proportional to 3,299.45, 4,949.94 and 959.49 is: 1,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.45 : 4,949.94 = 959.49 : x
  2. Step 2: Convert to fraction form
    3,299.45/4,949.94 = 959.49/x
  3. Step 3: Cross multiply
    3,299.45x = 4,949.94 × 959.49
  4. Step 4: Simplify right side
    3,299.45x = 4,749,417.93
  5. Step 5: Solve for x
    x = 4,749,417.93/3,299.45
  6. Step 6: Final answer
    x = 1,439.46

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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.