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Finding the Fourth Proportional to 944.31, 1,416.50 and 481.96

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Solution

The fourth proportional to 944.31, 1,416.50 and 481.96 is: 722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.31 : 1,416.50 = 481.96 : x
  2. Step 2: Convert to fraction form
    944.31/1,416.50 = 481.96/x
  3. Step 3: Cross multiply
    944.31x = 1,416.50 × 481.96
  4. Step 4: Simplify right side
    944.31x = 682,696.34
  5. Step 5: Solve for x
    x = 682,696.34/944.31
  6. Step 6: Final answer
    x = 722.96

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Why These Related Problems?

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