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Finding the Fourth Proportional to 937.97, 1,294.38 and 539.61

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Solution

The fourth proportional to 937.97, 1,294.38 and 539.61 is: 744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.97 : 1,294.38 = 539.61 : x
  2. Step 2: Convert to fraction form
    937.97/1,294.38 = 539.61/x
  3. Step 3: Cross multiply
    937.97x = 1,294.38 × 539.61
  4. Step 4: Simplify right side
    937.97x = 698,460.39
  5. Step 5: Solve for x
    x = 698,460.39/937.97
  6. Step 6: Final answer
    x = 744.66

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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.