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Finding the Fourth Proportional to 674.73, 1,009.96 and 443.07

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Solution

The fourth proportional to 674.73, 1,009.96 and 443.07 is: 663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.73 : 1,009.96 = 443.07 : x
  2. Step 2: Convert to fraction form
    674.73/1,009.96 = 443.07/x
  3. Step 3: Cross multiply
    674.73x = 1,009.96 × 443.07
  4. Step 4: Simplify right side
    674.73x = 447,481.87
  5. Step 5: Solve for x
    x = 447,481.87/674.73
  6. Step 6: Final answer
    x = 663.20

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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.