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Finding the Fourth Proportional to 804.82, 1,110.56 and 490.54

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Solution

The fourth proportional to 804.82, 1,110.56 and 490.54 is: 676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.82 : 1,110.56 = 490.54 : x
  2. Step 2: Convert to fraction form
    804.82/1,110.56 = 490.54/x
  3. Step 3: Cross multiply
    804.82x = 1,110.56 × 490.54
  4. Step 4: Simplify right side
    804.82x = 544,775.33
  5. Step 5: Solve for x
    x = 544,775.33/804.82
  6. Step 6: Final answer
    x = 676.89

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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.