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Finding the Fourth Proportional to 952.25, 1,313.98 and 532.55

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Solution

The fourth proportional to 952.25, 1,313.98 and 532.55 is: 734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.25 : 1,313.98 = 532.55 : x
  2. Step 2: Convert to fraction form
    952.25/1,313.98 = 532.55/x
  3. Step 3: Cross multiply
    952.25x = 1,313.98 × 532.55
  4. Step 4: Simplify right side
    952.25x = 699,760.05
  5. Step 5: Solve for x
    x = 699,760.05/952.25
  6. Step 6: Final answer
    x = 734.85

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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.