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Finding the Fourth Proportional to 849.05, 1,272.82 and 684.23

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Solution

The fourth proportional to 849.05, 1,272.82 and 684.23 is: 1,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.05 : 1,272.82 = 684.23 : x
  2. Step 2: Convert to fraction form
    849.05/1,272.82 = 684.23/x
  3. Step 3: Cross multiply
    849.05x = 1,272.82 × 684.23
  4. Step 4: Simplify right side
    849.05x = 870,902.00
  5. Step 5: Solve for x
    x = 870,902.00/849.05
  6. Step 6: Final answer
    x = 1,025.74

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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.