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Finding the Fourth Proportional to 801.06, 1,201.75 and 314.11

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Solution

The fourth proportional to 801.06, 1,201.75 and 314.11 is: 471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.06 : 1,201.75 = 314.11 : x
  2. Step 2: Convert to fraction form
    801.06/1,201.75 = 314.11/x
  3. Step 3: Cross multiply
    801.06x = 1,201.75 × 314.11
  4. Step 4: Simplify right side
    801.06x = 377,481.69
  5. Step 5: Solve for x
    x = 377,481.69/801.06
  6. Step 6: Final answer
    x = 471.23

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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.