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Finding the Fourth Proportional to 893.25, 1,232.62 and 494.91

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Solution

The fourth proportional to 893.25, 1,232.62 and 494.91 is: 682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.25 : 1,232.62 = 494.91 : x
  2. Step 2: Convert to fraction form
    893.25/1,232.62 = 494.91/x
  3. Step 3: Cross multiply
    893.25x = 1,232.62 × 494.91
  4. Step 4: Simplify right side
    893.25x = 610,034.73
  5. Step 5: Solve for x
    x = 610,034.73/893.25
  6. Step 6: Final answer
    x = 682.94

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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.