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Finding the Fourth Proportional to 839.66, 1,257.42 and 677.66

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Solution

The fourth proportional to 839.66, 1,257.42 and 677.66 is: 1,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.66 : 1,257.42 = 677.66 : x
  2. Step 2: Convert to fraction form
    839.66/1,257.42 = 677.66/x
  3. Step 3: Cross multiply
    839.66x = 1,257.42 × 677.66
  4. Step 4: Simplify right side
    839.66x = 852,103.24
  5. Step 5: Solve for x
    x = 852,103.24/839.66
  6. Step 6: Final answer
    x = 1,014.82

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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.