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Finding the Fourth Proportional to 662.76, 995.22 and 658.98

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Solution

The fourth proportional to 662.76, 995.22 and 658.98 is: 989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.76 : 995.22 = 658.98 : x
  2. Step 2: Convert to fraction form
    662.76/995.22 = 658.98/x
  3. Step 3: Cross multiply
    662.76x = 995.22 × 658.98
  4. Step 4: Simplify right side
    662.76x = 655,830.08
  5. Step 5: Solve for x
    x = 655,830.08/662.76
  6. Step 6: Final answer
    x = 989.54

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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.