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Finding the Fourth Proportional to 935.22, 1,291.16 and 831.43

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Solution

The fourth proportional to 935.22, 1,291.16 and 831.43 is: 1,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.22 : 1,291.16 = 831.43 : x
  2. Step 2: Convert to fraction form
    935.22/1,291.16 = 831.43/x
  3. Step 3: Cross multiply
    935.22x = 1,291.16 × 831.43
  4. Step 4: Simplify right side
    935.22x = 1,073,508.17
  5. Step 5: Solve for x
    x = 1,073,508.17/935.22
  6. Step 6: Final answer
    x = 1,147.87

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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.