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Finding the Fourth Proportional to 685.97, 1,028.64 and 295.79

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Solution

The fourth proportional to 685.97, 1,028.64 and 295.79 is: 443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.97 : 1,028.64 = 295.79 : x
  2. Step 2: Convert to fraction form
    685.97/1,028.64 = 295.79/x
  3. Step 3: Cross multiply
    685.97x = 1,028.64 × 295.79
  4. Step 4: Simplify right side
    685.97x = 304,258.68
  5. Step 5: Solve for x
    x = 304,258.68/685.97
  6. Step 6: Final answer
    x = 443.54

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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.