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Finding the Fourth Proportional to 937.41, 1,294.25 and 583.85

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Solution

The fourth proportional to 937.41, 1,294.25 and 583.85 is: 806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.41 : 1,294.25 = 583.85 : x
  2. Step 2: Convert to fraction form
    937.41/1,294.25 = 583.85/x
  3. Step 3: Cross multiply
    937.41x = 1,294.25 × 583.85
  4. Step 4: Simplify right side
    937.41x = 755,640.90
  5. Step 5: Solve for x
    x = 755,640.90/937.41
  6. Step 6: Final answer
    x = 806.09

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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.