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Finding the Fourth Proportional to 1,425.52, 2,138.26 and 451.70

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Solution

The fourth proportional to 1,425.52, 2,138.26 and 451.70 is: 677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.52 : 2,138.26 = 451.70 : x
  2. Step 2: Convert to fraction form
    1,425.52/2,138.26 = 451.70/x
  3. Step 3: Cross multiply
    1,425.52x = 2,138.26 × 451.70
  4. Step 4: Simplify right side
    1,425.52x = 965,852.04
  5. Step 5: Solve for x
    x = 965,852.04/1,425.52
  6. Step 6: Final answer
    x = 677.54

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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.