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Finding the Fourth Proportional to 674.10, 1,011.60 and 381.60

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Solution

The fourth proportional to 674.10, 1,011.60 and 381.60 is: 572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.10 : 1,011.60 = 381.60 : x
  2. Step 2: Convert to fraction form
    674.10/1,011.60 = 381.60/x
  3. Step 3: Cross multiply
    674.10x = 1,011.60 × 381.60
  4. Step 4: Simplify right side
    674.10x = 386,026.56
  5. Step 5: Solve for x
    x = 386,026.56/674.10
  6. Step 6: Final answer
    x = 572.65

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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.