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Finding the Fourth Proportional to 674.91, 1,003.66 and 667.71

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Solution

The fourth proportional to 674.91, 1,003.66 and 667.71 is: 992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.91 : 1,003.66 = 667.71 : x
  2. Step 2: Convert to fraction form
    674.91/1,003.66 = 667.71/x
  3. Step 3: Cross multiply
    674.91x = 1,003.66 × 667.71
  4. Step 4: Simplify right side
    674.91x = 670,152.15
  5. Step 5: Solve for x
    x = 670,152.15/674.91
  6. Step 6: Final answer
    x = 992.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.