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Finding the Fourth Proportional to 899.25, 1,241.37 and 666.78

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Solution

The fourth proportional to 899.25, 1,241.37 and 666.78 is: 920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.25 : 1,241.37 = 666.78 : x
  2. Step 2: Convert to fraction form
    899.25/1,241.37 = 666.78/x
  3. Step 3: Cross multiply
    899.25x = 1,241.37 × 666.78
  4. Step 4: Simplify right side
    899.25x = 827,720.69
  5. Step 5: Solve for x
    x = 827,720.69/899.25
  6. Step 6: Final answer
    x = 920.46

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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.