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Finding the Fourth Proportional to 893.67, 1,231.44 and 683.84

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Solution

The fourth proportional to 893.67, 1,231.44 and 683.84 is: 942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.67 : 1,231.44 = 683.84 : x
  2. Step 2: Convert to fraction form
    893.67/1,231.44 = 683.84/x
  3. Step 3: Cross multiply
    893.67x = 1,231.44 × 683.84
  4. Step 4: Simplify right side
    893.67x = 842,108.44
  5. Step 5: Solve for x
    x = 842,108.44/893.67
  6. Step 6: Final answer
    x = 942.31

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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.