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Finding the Fourth Proportional to 674.56, 1,009.50 and 414.44

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Solution

The fourth proportional to 674.56, 1,009.50 and 414.44 is: 620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.56 : 1,009.50 = 414.44 : x
  2. Step 2: Convert to fraction form
    674.56/1,009.50 = 414.44/x
  3. Step 3: Cross multiply
    674.56x = 1,009.50 × 414.44
  4. Step 4: Simplify right side
    674.56x = 418,377.18
  5. Step 5: Solve for x
    x = 418,377.18/674.56
  6. Step 6: Final answer
    x = 620.22

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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.