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Finding the Fourth Proportional to 861.14, 1,194.46 and 831.63

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Solution

The fourth proportional to 861.14, 1,194.46 and 831.63 is: 1,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.14 : 1,194.46 = 831.63 : x
  2. Step 2: Convert to fraction form
    861.14/1,194.46 = 831.63/x
  3. Step 3: Cross multiply
    861.14x = 1,194.46 × 831.63
  4. Step 4: Simplify right side
    861.14x = 993,354.29
  5. Step 5: Solve for x
    x = 993,354.29/861.14
  6. Step 6: Final answer
    x = 1,153.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.