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Finding the Fourth Proportional to 921.53, 1,380.95 and 428.09

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Solution

The fourth proportional to 921.53, 1,380.95 and 428.09 is: 641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.53 : 1,380.95 = 428.09 : x
  2. Step 2: Convert to fraction form
    921.53/1,380.95 = 428.09/x
  3. Step 3: Cross multiply
    921.53x = 1,380.95 × 428.09
  4. Step 4: Simplify right side
    921.53x = 591,175.41
  5. Step 5: Solve for x
    x = 591,175.41/921.53
  6. Step 6: Final answer
    x = 641.51

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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.