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Finding the Fourth Proportional to 937.97, 1,293.69 and 831.74

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Solution

The fourth proportional to 937.97, 1,293.69 and 831.74 is: 1,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.97 : 1,293.69 = 831.74 : x
  2. Step 2: Convert to fraction form
    937.97/1,293.69 = 831.74/x
  3. Step 3: Cross multiply
    937.97x = 1,293.69 × 831.74
  4. Step 4: Simplify right side
    937.97x = 1,076,016.95
  5. Step 5: Solve for x
    x = 1,076,016.95/937.97
  6. Step 6: Final answer
    x = 1,147.18

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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.