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Finding the Fourth Proportional to 859.37, 1,289.06 and 677.73

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Solution

The fourth proportional to 859.37, 1,289.06 and 677.73 is: 1,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.37 : 1,289.06 = 677.73 : x
  2. Step 2: Convert to fraction form
    859.37/1,289.06 = 677.73/x
  3. Step 3: Cross multiply
    859.37x = 1,289.06 × 677.73
  4. Step 4: Simplify right side
    859.37x = 873,634.63
  5. Step 5: Solve for x
    x = 873,634.63/859.37
  6. Step 6: Final answer
    x = 1,016.60

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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.