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Finding the Fourth Proportional to 952.16, 1,313.90 and 532.48

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Solution

The fourth proportional to 952.16, 1,313.90 and 532.48 is: 734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.16 : 1,313.90 = 532.48 : x
  2. Step 2: Convert to fraction form
    952.16/1,313.90 = 532.48/x
  3. Step 3: Cross multiply
    952.16x = 1,313.90 × 532.48
  4. Step 4: Simplify right side
    952.16x = 699,625.47
  5. Step 5: Solve for x
    x = 699,625.47/952.16
  6. Step 6: Final answer
    x = 734.78

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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.