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Finding the Fourth Proportional to 799.96, 1,103.62 and 564.25

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Solution

The fourth proportional to 799.96, 1,103.62 and 564.25 is: 778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.96 : 1,103.62 = 564.25 : x
  2. Step 2: Convert to fraction form
    799.96/1,103.62 = 564.25/x
  3. Step 3: Cross multiply
    799.96x = 1,103.62 × 564.25
  4. Step 4: Simplify right side
    799.96x = 622,717.59
  5. Step 5: Solve for x
    x = 622,717.59/799.96
  6. Step 6: Final answer
    x = 778.44

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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.