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Finding the Fourth Proportional to 2,198.35, 3,296.56 and 658.99

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Solution

The fourth proportional to 2,198.35, 3,296.56 and 658.99 is: 988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.35 : 3,296.56 = 658.99 : x
  2. Step 2: Convert to fraction form
    2,198.35/3,296.56 = 658.99/x
  3. Step 3: Cross multiply
    2,198.35x = 3,296.56 × 658.99
  4. Step 4: Simplify right side
    2,198.35x = 2,172,400.07
  5. Step 5: Solve for x
    x = 2,172,400.07/2,198.35
  6. Step 6: Final answer
    x = 988.20

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1.5x scale

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.