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Finding the Fourth Proportional to 789.06, 1,087.09 and 623.22

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Solution

The fourth proportional to 789.06, 1,087.09 and 623.22 is: 858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.06 : 1,087.09 = 623.22 : x
  2. Step 2: Convert to fraction form
    789.06/1,087.09 = 623.22/x
  3. Step 3: Cross multiply
    789.06x = 1,087.09 × 623.22
  4. Step 4: Simplify right side
    789.06x = 677,496.23
  5. Step 5: Solve for x
    x = 677,496.23/789.06
  6. Step 6: Final answer
    x = 858.61

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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.