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Finding the Fourth Proportional to 801.48, 1,201.71 and 411.63

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Solution

The fourth proportional to 801.48, 1,201.71 and 411.63 is: 617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.48 : 1,201.71 = 411.63 : x
  2. Step 2: Convert to fraction form
    801.48/1,201.71 = 411.63/x
  3. Step 3: Cross multiply
    801.48x = 1,201.71 × 411.63
  4. Step 4: Simplify right side
    801.48x = 494,659.89
  5. Step 5: Solve for x
    x = 494,659.89/801.48
  6. Step 6: Final answer
    x = 617.18

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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.