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Finding the Fourth Proportional to 1,425.33, 2,138.06 and 451.41

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Solution

The fourth proportional to 1,425.33, 2,138.06 and 451.41 is: 677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.33 : 2,138.06 = 451.41 : x
  2. Step 2: Convert to fraction form
    1,425.33/2,138.06 = 451.41/x
  3. Step 3: Cross multiply
    1,425.33x = 2,138.06 × 451.41
  4. Step 4: Simplify right side
    1,425.33x = 965,149.96
  5. Step 5: Solve for x
    x = 965,149.96/1,425.33
  6. Step 6: Final answer
    x = 677.14

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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.