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Finding the Fourth Proportional to 801.34, 1,201.50 and 313.82

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Solution

The fourth proportional to 801.34, 1,201.50 and 313.82 is: 470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.34 : 1,201.50 = 313.82 : x
  2. Step 2: Convert to fraction form
    801.34/1,201.50 = 313.82/x
  3. Step 3: Cross multiply
    801.34x = 1,201.50 × 313.82
  4. Step 4: Simplify right side
    801.34x = 377,054.73
  5. Step 5: Solve for x
    x = 377,054.73/801.34
  6. Step 6: Final answer
    x = 470.53

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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.