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Finding the Fourth Proportional to 859.73, 1,286.74 and 782.87

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Solution

The fourth proportional to 859.73, 1,286.74 and 782.87 is: 1,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.73 : 1,286.74 = 782.87 : x
  2. Step 2: Convert to fraction form
    859.73/1,286.74 = 782.87/x
  3. Step 3: Cross multiply
    859.73x = 1,286.74 × 782.87
  4. Step 4: Simplify right side
    859.73x = 1,007,349.51
  5. Step 5: Solve for x
    x = 1,007,349.51/859.73
  6. Step 6: Final answer
    x = 1,171.71

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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.