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Finding the Fourth Proportional to 849.07, 1,274.82 and 834.49

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Solution

The fourth proportional to 849.07, 1,274.82 and 834.49 is: 1,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.07 : 1,274.82 = 834.49 : x
  2. Step 2: Convert to fraction form
    849.07/1,274.82 = 834.49/x
  3. Step 3: Cross multiply
    849.07x = 1,274.82 × 834.49
  4. Step 4: Simplify right side
    849.07x = 1,063,824.54
  5. Step 5: Solve for x
    x = 1,063,824.54/849.07
  6. Step 6: Final answer
    x = 1,252.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.