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Finding the Fourth Proportional to 1,475.28, 2,212.88 and 449.28

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Solution

The fourth proportional to 1,475.28, 2,212.88 and 449.28 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.28 : 2,212.88 = 449.28 : x
  2. Step 2: Convert to fraction form
    1,475.28/2,212.88 = 449.28/x
  3. Step 3: Cross multiply
    1,475.28x = 2,212.88 × 449.28
  4. Step 4: Simplify right side
    1,475.28x = 994,202.73
  5. Step 5: Solve for x
    x = 994,202.73/1,475.28
  6. Step 6: Final answer
    x = 673.91

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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.