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Finding the Fourth Proportional to 964.11, 1,445.90 and 270.73

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Solution

The fourth proportional to 964.11, 1,445.90 and 270.73 is: 406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.11 : 1,445.90 = 270.73 : x
  2. Step 2: Convert to fraction form
    964.11/1,445.90 = 270.73/x
  3. Step 3: Cross multiply
    964.11x = 1,445.90 × 270.73
  4. Step 4: Simplify right side
    964.11x = 391,447.15
  5. Step 5: Solve for x
    x = 391,447.15/964.11
  6. Step 6: Final answer
    x = 406.02

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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.