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Finding the Fourth Proportional to 3,000.23, 4,499.94 and 809.09

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Solution

The fourth proportional to 3,000.23, 4,499.94 and 809.09 is: 1,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.23 : 4,499.94 = 809.09 : x
  2. Step 2: Convert to fraction form
    3,000.23/4,499.94 = 809.09/x
  3. Step 3: Cross multiply
    3,000.23x = 4,499.94 × 809.09
  4. Step 4: Simplify right side
    3,000.23x = 3,640,856.45
  5. Step 5: Solve for x
    x = 3,640,856.45/3,000.23
  6. Step 6: Final answer
    x = 1,213.53

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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.