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Finding the Fourth Proportional to 952.07, 1,427.41 and 451.46

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Solution

The fourth proportional to 952.07, 1,427.41 and 451.46 is: 676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.07 : 1,427.41 = 451.46 : x
  2. Step 2: Convert to fraction form
    952.07/1,427.41 = 451.46/x
  3. Step 3: Cross multiply
    952.07x = 1,427.41 × 451.46
  4. Step 4: Simplify right side
    952.07x = 644,418.52
  5. Step 5: Solve for x
    x = 644,418.52/952.07
  6. Step 6: Final answer
    x = 676.86

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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.