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Finding the Fourth Proportional to 883.22, 1,218.80 and 490.28

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Solution

The fourth proportional to 883.22, 1,218.80 and 490.28 is: 676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.22 : 1,218.80 = 490.28 : x
  2. Step 2: Convert to fraction form
    883.22/1,218.80 = 490.28/x
  3. Step 3: Cross multiply
    883.22x = 1,218.80 × 490.28
  4. Step 4: Simplify right side
    883.22x = 597,553.26
  5. Step 5: Solve for x
    x = 597,553.26/883.22
  6. Step 6: Final answer
    x = 676.56

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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.