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Finding the Fourth Proportional to 938.25, 1,294.29 and 658.38

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Solution

The fourth proportional to 938.25, 1,294.29 and 658.38 is: 908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.25 : 1,294.29 = 658.38 : x
  2. Step 2: Convert to fraction form
    938.25/1,294.29 = 658.38/x
  3. Step 3: Cross multiply
    938.25x = 1,294.29 × 658.38
  4. Step 4: Simplify right side
    938.25x = 852,134.65
  5. Step 5: Solve for x
    x = 852,134.65/938.25
  6. Step 6: Final answer
    x = 908.22

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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.