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Finding the Fourth Proportional to 1,397.62, 2,096.46 and 575.34

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Solution

The fourth proportional to 1,397.62, 2,096.46 and 575.34 is: 863.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.62 : 2,096.46 = 575.34 : x
  2. Step 2: Convert to fraction form
    1,397.62/2,096.46 = 575.34/x
  3. Step 3: Cross multiply
    1,397.62x = 2,096.46 × 575.34
  4. Step 4: Simplify right side
    1,397.62x = 1,206,177.30
  5. Step 5: Solve for x
    x = 1,206,177.30/1,397.62
  6. Step 6: Final answer
    x = 863.02

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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.