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Finding the Fourth Proportional to 866.94, 1,292.18 and 843.86

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Solution

The fourth proportional to 866.94, 1,292.18 and 843.86 is: 1,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.94 : 1,292.18 = 843.86 : x
  2. Step 2: Convert to fraction form
    866.94/1,292.18 = 843.86/x
  3. Step 3: Cross multiply
    866.94x = 1,292.18 × 843.86
  4. Step 4: Simplify right side
    866.94x = 1,090,414.80
  5. Step 5: Solve for x
    x = 1,090,414.80/866.94
  6. Step 6: Final answer
    x = 1,257.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.