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Finding the Fourth Proportional to 893.26, 1,233.44 and 562.29

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Solution

The fourth proportional to 893.26, 1,233.44 and 562.29 is: 776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.26 : 1,233.44 = 562.29 : x
  2. Step 2: Convert to fraction form
    893.26/1,233.44 = 562.29/x
  3. Step 3: Cross multiply
    893.26x = 1,233.44 × 562.29
  4. Step 4: Simplify right side
    893.26x = 693,550.98
  5. Step 5: Solve for x
    x = 693,550.98/893.26
  6. Step 6: Final answer
    x = 776.43

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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.