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Finding the Fourth Proportional to 900.42, 1,241.82 and 664.44

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Solution

The fourth proportional to 900.42, 1,241.82 and 664.44 is: 916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.42 : 1,241.82 = 664.44 : x
  2. Step 2: Convert to fraction form
    900.42/1,241.82 = 664.44/x
  3. Step 3: Cross multiply
    900.42x = 1,241.82 × 664.44
  4. Step 4: Simplify right side
    900.42x = 825,114.88
  5. Step 5: Solve for x
    x = 825,114.88/900.42
  6. Step 6: Final answer
    x = 916.37

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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.