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Finding the Fourth Proportional to 893.29, 1,232.61 and 494.89

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Solution

The fourth proportional to 893.29, 1,232.61 and 494.89 is: 682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.29 : 1,232.61 = 494.89 : x
  2. Step 2: Convert to fraction form
    893.29/1,232.61 = 494.89/x
  3. Step 3: Cross multiply
    893.29x = 1,232.61 × 494.89
  4. Step 4: Simplify right side
    893.29x = 610,003.28
  5. Step 5: Solve for x
    x = 610,003.28/893.29
  6. Step 6: Final answer
    x = 682.87

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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.