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Finding the Fourth Proportional to 801.96, 1,202.54 and 314.75

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Solution

The fourth proportional to 801.96, 1,202.54 and 314.75 is: 471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.96 : 1,202.54 = 314.75 : x
  2. Step 2: Convert to fraction form
    801.96/1,202.54 = 314.75/x
  3. Step 3: Cross multiply
    801.96x = 1,202.54 × 314.75
  4. Step 4: Simplify right side
    801.96x = 378,491.88
  5. Step 5: Solve for x
    x = 378,491.88/801.96
  6. Step 6: Final answer
    x = 471.96

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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.