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Finding the Fourth Proportional to 938.27, 1,294.88 and 540

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Solution

The fourth proportional to 938.27, 1,294.88 and 540 is: 745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.27 : 1,294.88 = 540 : x
  2. Step 2: Convert to fraction form
    938.27/1,294.88 = 540/x
  3. Step 3: Cross multiply
    938.27x = 1,294.88 × 540
  4. Step 4: Simplify right side
    938.27x = 699,232.50
  5. Step 5: Solve for x
    x = 699,232.50/938.27
  6. Step 6: Final answer
    x = 745.24

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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.