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Finding the Fourth Proportional to 921.53, 1,380.76 and 596.23

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Solution

The fourth proportional to 921.53, 1,380.76 and 596.23 is: 893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.53 : 1,380.76 = 596.23 : x
  2. Step 2: Convert to fraction form
    921.53/1,380.76 = 596.23/x
  3. Step 3: Cross multiply
    921.53x = 1,380.76 × 596.23
  4. Step 4: Simplify right side
    921.53x = 823,245.59
  5. Step 5: Solve for x
    x = 823,245.59/921.53
  6. Step 6: Final answer
    x = 893.34

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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.