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Finding the Fourth Proportional to 952.25, 1,314.02 and 532.53

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Solution

The fourth proportional to 952.25, 1,314.02 and 532.53 is: 734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.25 : 1,314.02 = 532.53 : x
  2. Step 2: Convert to fraction form
    952.25/1,314.02 = 532.53/x
  3. Step 3: Cross multiply
    952.25x = 1,314.02 × 532.53
  4. Step 4: Simplify right side
    952.25x = 699,756.40
  5. Step 5: Solve for x
    x = 699,756.40/952.25
  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.