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Finding the Fourth Proportional to 944.08, 1,416.21 and 481.66

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Solution

The fourth proportional to 944.08, 1,416.21 and 481.66 is: 722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.08 : 1,416.21 = 481.66 : x
  2. Step 2: Convert to fraction form
    944.08/1,416.21 = 481.66/x
  3. Step 3: Cross multiply
    944.08x = 1,416.21 × 481.66
  4. Step 4: Simplify right side
    944.08x = 682,131.71
  5. Step 5: Solve for x
    x = 682,131.71/944.08
  6. Step 6: Final answer
    x = 722.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.