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Finding the Fourth Proportional to 938.50, 1,295.12 and 513.14

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Solution

The fourth proportional to 938.50, 1,295.12 and 513.14 is: 708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.50 : 1,295.12 = 513.14 : x
  2. Step 2: Convert to fraction form
    938.50/1,295.12 = 513.14/x
  3. Step 3: Cross multiply
    938.50x = 1,295.12 × 513.14
  4. Step 4: Simplify right side
    938.50x = 664,572.68
  5. Step 5: Solve for x
    x = 664,572.68/938.50
  6. Step 6: Final answer
    x = 708.12

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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.