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Finding the Fourth Proportional to 674.38, 1,013.46 and 658

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Solution

The fourth proportional to 674.38, 1,013.46 and 658 is: 988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.38 : 1,013.46 = 658 : x
  2. Step 2: Convert to fraction form
    674.38/1,013.46 = 658/x
  3. Step 3: Cross multiply
    674.38x = 1,013.46 × 658
  4. Step 4: Simplify right side
    674.38x = 666,856.68
  5. Step 5: Solve for x
    x = 666,856.68/674.38
  6. Step 6: Final answer
    x = 988.84

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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.