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Finding the Fourth Proportional to 789.14, 1,087.83 and 623.03

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Solution

The fourth proportional to 789.14, 1,087.83 and 623.03 is: 858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.14 : 1,087.83 = 623.03 : x
  2. Step 2: Convert to fraction form
    789.14/1,087.83 = 623.03/x
  3. Step 3: Cross multiply
    789.14x = 1,087.83 × 623.03
  4. Step 4: Simplify right side
    789.14x = 677,745.29
  5. Step 5: Solve for x
    x = 677,745.29/789.14
  6. Step 6: Final answer
    x = 858.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.