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Finding the Fourth Proportional to 808.26, 1,111.74 and 709.88

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Solution

The fourth proportional to 808.26, 1,111.74 and 709.88 is: 976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.26 : 1,111.74 = 709.88 : x
  2. Step 2: Convert to fraction form
    808.26/1,111.74 = 709.88/x
  3. Step 3: Cross multiply
    808.26x = 1,111.74 × 709.88
  4. Step 4: Simplify right side
    808.26x = 789,201.99
  5. Step 5: Solve for x
    x = 789,201.99/808.26
  6. Step 6: Final answer
    x = 976.42

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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.