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Finding the Fourth Proportional to 893.25, 1,232.58 and 494.86

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Solution

The fourth proportional to 893.25, 1,232.58 and 494.86 is: 682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.25 : 1,232.58 = 494.86 : x
  2. Step 2: Convert to fraction form
    893.25/1,232.58 = 494.86/x
  3. Step 3: Cross multiply
    893.25x = 1,232.58 × 494.86
  4. Step 4: Simplify right side
    893.25x = 609,954.54
  5. Step 5: Solve for x
    x = 609,954.54/893.25
  6. Step 6: Final answer
    x = 682.85

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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.