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Finding the Fourth Proportional to 801.79, 1,202.67 and 208.81

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Solution

The fourth proportional to 801.79, 1,202.67 and 208.81 is: 313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.79 : 1,202.67 = 208.81 : x
  2. Step 2: Convert to fraction form
    801.79/1,202.67 = 208.81/x
  3. Step 3: Cross multiply
    801.79x = 1,202.67 × 208.81
  4. Step 4: Simplify right side
    801.79x = 251,122.47
  5. Step 5: Solve for x
    x = 251,122.47/801.79
  6. Step 6: Final answer
    x = 313.20

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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.