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Finding the Fourth Proportional to 952.91, 1,427.43 and 746.49

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Solution

The fourth proportional to 952.91, 1,427.43 and 746.49 is: 1,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.91 : 1,427.43 = 746.49 : x
  2. Step 2: Convert to fraction form
    952.91/1,427.43 = 746.49/x
  3. Step 3: Cross multiply
    952.91x = 1,427.43 × 746.49
  4. Step 4: Simplify right side
    952.91x = 1,065,562.22
  5. Step 5: Solve for x
    x = 1,065,562.22/952.91
  6. Step 6: Final answer
    x = 1,118.23

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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.