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Finding the Fourth Proportional to 939.97, 1,296.45 and 833.74

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Solution

The fourth proportional to 939.97, 1,296.45 and 833.74 is: 1,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.97 : 1,296.45 = 833.74 : x
  2. Step 2: Convert to fraction form
    939.97/1,296.45 = 833.74/x
  3. Step 3: Cross multiply
    939.97x = 1,296.45 × 833.74
  4. Step 4: Simplify right side
    939.97x = 1,080,902.22
  5. Step 5: Solve for x
    x = 1,080,902.22/939.97
  6. Step 6: Final answer
    x = 1,149.93

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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.