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Finding the Fourth Proportional to 893.97, 1,233.83 and 562.28

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Solution

The fourth proportional to 893.97, 1,233.83 and 562.28 is: 776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.97 : 1,233.83 = 562.28 : x
  2. Step 2: Convert to fraction form
    893.97/1,233.83 = 562.28/x
  3. Step 3: Cross multiply
    893.97x = 1,233.83 × 562.28
  4. Step 4: Simplify right side
    893.97x = 693,753.17
  5. Step 5: Solve for x
    x = 693,753.17/893.97
  6. Step 6: Final answer
    x = 776.04

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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.