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Finding the Fourth Proportional to 1,397.44, 2,096.09 and 423.62

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Solution

The fourth proportional to 1,397.44, 2,096.09 and 423.62 is: 635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.44 : 2,096.09 = 423.62 : x
  2. Step 2: Convert to fraction form
    1,397.44/2,096.09 = 423.62/x
  3. Step 3: Cross multiply
    1,397.44x = 2,096.09 × 423.62
  4. Step 4: Simplify right side
    1,397.44x = 887,945.65
  5. Step 5: Solve for x
    x = 887,945.65/1,397.44
  6. Step 6: Final answer
    x = 635.41

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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.