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Finding the Fourth Proportional to 793.82, 1,093.87 and 569.09

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Solution

The fourth proportional to 793.82, 1,093.87 and 569.09 is: 784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.82 : 1,093.87 = 569.09 : x
  2. Step 2: Convert to fraction form
    793.82/1,093.87 = 569.09/x
  3. Step 3: Cross multiply
    793.82x = 1,093.87 × 569.09
  4. Step 4: Simplify right side
    793.82x = 622,510.48
  5. Step 5: Solve for x
    x = 622,510.48/793.82
  6. Step 6: Final answer
    x = 784.20

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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.