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Finding the Fourth Proportional to 921.06, 1,380.24 and 595.44

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Solution

The fourth proportional to 921.06, 1,380.24 and 595.44 is: 892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.06 : 1,380.24 = 595.44 : x
  2. Step 2: Convert to fraction form
    921.06/1,380.24 = 595.44/x
  3. Step 3: Cross multiply
    921.06x = 1,380.24 × 595.44
  4. Step 4: Simplify right side
    921.06x = 821,850.11
  5. Step 5: Solve for x
    x = 821,850.11/921.06
  6. Step 6: Final answer
    x = 892.29

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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.