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Finding the Fourth Proportional to 685.26, 1,028.52 and 469.44

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Solution

The fourth proportional to 685.26, 1,028.52 and 469.44 is: 704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.26 : 1,028.52 = 469.44 : x
  2. Step 2: Convert to fraction form
    685.26/1,028.52 = 469.44/x
  3. Step 3: Cross multiply
    685.26x = 1,028.52 × 469.44
  4. Step 4: Simplify right side
    685.26x = 482,828.43
  5. Step 5: Solve for x
    x = 482,828.43/685.26
  6. Step 6: Final answer
    x = 704.59

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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.