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Finding the Fourth Proportional to 801.48, 1,202.34 and 411.27

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Solution

The fourth proportional to 801.48, 1,202.34 and 411.27 is: 616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.48 : 1,202.34 = 411.27 : x
  2. Step 2: Convert to fraction form
    801.48/1,202.34 = 411.27/x
  3. Step 3: Cross multiply
    801.48x = 1,202.34 × 411.27
  4. Step 4: Simplify right side
    801.48x = 494,486.37
  5. Step 5: Solve for x
    x = 494,486.37/801.48
  6. Step 6: Final answer
    x = 616.97

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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.