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Finding the Fourth Proportional to 1,022.09, 1,533.11 and 444.96

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Solution

The fourth proportional to 1,022.09, 1,533.11 and 444.96 is: 667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.09 : 1,533.11 = 444.96 : x
  2. Step 2: Convert to fraction form
    1,022.09/1,533.11 = 444.96/x
  3. Step 3: Cross multiply
    1,022.09x = 1,533.11 × 444.96
  4. Step 4: Simplify right side
    1,022.09x = 682,170.40
  5. Step 5: Solve for x
    x = 682,170.40/1,022.09
  6. Step 6: Final answer
    x = 667.43

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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.