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Finding the Fourth Proportional to 685.24, 1,026.39 and 294.73

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Solution

The fourth proportional to 685.24, 1,026.39 and 294.73 is: 441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.24 : 1,026.39 = 294.73 : x
  2. Step 2: Convert to fraction form
    685.24/1,026.39 = 294.73/x
  3. Step 3: Cross multiply
    685.24x = 1,026.39 × 294.73
  4. Step 4: Simplify right side
    685.24x = 302,504.25
  5. Step 5: Solve for x
    x = 302,504.25/685.24
  6. Step 6: Final answer
    x = 441.46

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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.