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Finding the Fourth Proportional to 1,270.76, 1,906.18 and 449.60

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Solution

The fourth proportional to 1,270.76, 1,906.18 and 449.60 is: 674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.76 : 1,906.18 = 449.60 : x
  2. Step 2: Convert to fraction form
    1,270.76/1,906.18 = 449.60/x
  3. Step 3: Cross multiply
    1,270.76x = 1,906.18 × 449.60
  4. Step 4: Simplify right side
    1,270.76x = 857,018.53
  5. Step 5: Solve for x
    x = 857,018.53/1,270.76
  6. Step 6: Final answer
    x = 674.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.