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Finding the Fourth Proportional to 921.13, 1,380.90 and 433.84

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Solution

The fourth proportional to 921.13, 1,380.90 and 433.84 is: 650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.13 : 1,380.90 = 433.84 : x
  2. Step 2: Convert to fraction form
    921.13/1,380.90 = 433.84/x
  3. Step 3: Cross multiply
    921.13x = 1,380.90 × 433.84
  4. Step 4: Simplify right side
    921.13x = 599,089.66
  5. Step 5: Solve for x
    x = 599,089.66/921.13
  6. Step 6: Final answer
    x = 650.39

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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.