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Finding the Fourth Proportional to 952.18, 1,313.97 and 532.54

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Solution

The fourth proportional to 952.18, 1,313.97 and 532.54 is: 734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.18 : 1,313.97 = 532.54 : x
  2. Step 2: Convert to fraction form
    952.18/1,313.97 = 532.54/x
  3. Step 3: Cross multiply
    952.18x = 1,313.97 × 532.54
  4. Step 4: Simplify right side
    952.18x = 699,735.01
  5. Step 5: Solve for x
    x = 699,735.01/952.18
  6. Step 6: Final answer
    x = 734.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.