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Finding the Fourth Proportional to 952.32, 1,314.10 and 532.53

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Solution

The fourth proportional to 952.32, 1,314.10 and 532.53 is: 734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.32 : 1,314.10 = 532.53 : x
  2. Step 2: Convert to fraction form
    952.32/1,314.10 = 532.53/x
  3. Step 3: Cross multiply
    952.32x = 1,314.10 × 532.53
  4. Step 4: Simplify right side
    952.32x = 699,797.67
  5. Step 5: Solve for x
    x = 699,797.67/952.32
  6. Step 6: Final answer
    x = 734.83

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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.