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Finding the Fourth Proportional to 808.98, 1,112.49 and 676.14

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Solution

The fourth proportional to 808.98, 1,112.49 and 676.14 is: 929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.98 : 1,112.49 = 676.14 : x
  2. Step 2: Convert to fraction form
    808.98/1,112.49 = 676.14/x
  3. Step 3: Cross multiply
    808.98x = 1,112.49 × 676.14
  4. Step 4: Simplify right side
    808.98x = 752,198.99
  5. Step 5: Solve for x
    x = 752,198.99/808.98
  6. Step 6: Final answer
    x = 929.81

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