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Finding the Fourth Proportional to 1,270.36, 1,906.14 and 449.02

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Solution

The fourth proportional to 1,270.36, 1,906.14 and 449.02 is: 673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.36 : 1,906.14 = 449.02 : x
  2. Step 2: Convert to fraction form
    1,270.36/1,906.14 = 449.02/x
  3. Step 3: Cross multiply
    1,270.36x = 1,906.14 × 449.02
  4. Step 4: Simplify right side
    1,270.36x = 855,894.98
  5. Step 5: Solve for x
    x = 855,894.98/1,270.36
  6. Step 6: Final answer
    x = 673.74

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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.