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Finding the Fourth Proportional to 674.13, 1,013.26 and 659.78

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Solution

The fourth proportional to 674.13, 1,013.26 and 659.78 is: 991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.13 : 1,013.26 = 659.78 : x
  2. Step 2: Convert to fraction form
    674.13/1,013.26 = 659.78/x
  3. Step 3: Cross multiply
    674.13x = 1,013.26 × 659.78
  4. Step 4: Simplify right side
    674.13x = 668,528.68
  5. Step 5: Solve for x
    x = 668,528.68/674.13
  6. Step 6: Final answer
    x = 991.69

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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.