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Finding the Fourth Proportional to 674.92, 1,012.19 and 427.76

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Solution

The fourth proportional to 674.92, 1,012.19 and 427.76 is: 641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.92 : 1,012.19 = 427.76 : x
  2. Step 2: Convert to fraction form
    674.92/1,012.19 = 427.76/x
  3. Step 3: Cross multiply
    674.92x = 1,012.19 × 427.76
  4. Step 4: Simplify right side
    674.92x = 432,974.20
  5. Step 5: Solve for x
    x = 432,974.20/674.92
  6. Step 6: Final answer
    x = 641.52

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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.