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Finding the Fourth Proportional to 801.71, 1,202.26 and 411.58

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Solution

The fourth proportional to 801.71, 1,202.26 and 411.58 is: 617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.71 : 1,202.26 = 411.58 : x
  2. Step 2: Convert to fraction form
    801.71/1,202.26 = 411.58/x
  3. Step 3: Cross multiply
    801.71x = 1,202.26 × 411.58
  4. Step 4: Simplify right side
    801.71x = 494,826.17
  5. Step 5: Solve for x
    x = 494,826.17/801.71
  6. Step 6: Final answer
    x = 617.21

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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.