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Finding the Fourth Proportional to 952.27, 1,314.11 and 532.67

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Solution

The fourth proportional to 952.27, 1,314.11 and 532.67 is: 735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.27 : 1,314.11 = 532.67 : x
  2. Step 2: Convert to fraction form
    952.27/1,314.11 = 532.67/x
  3. Step 3: Cross multiply
    952.27x = 1,314.11 × 532.67
  4. Step 4: Simplify right side
    952.27x = 699,983.69
  5. Step 5: Solve for x
    x = 699,983.69/952.27
  6. Step 6: Final answer
    x = 735.07

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