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Finding the Fourth Proportional to 1,198.59, 1,797.96 and 376.98

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Solution

The fourth proportional to 1,198.59, 1,797.96 and 376.98 is: 565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.59 : 1,797.96 = 376.98 : x
  2. Step 2: Convert to fraction form
    1,198.59/1,797.96 = 376.98/x
  3. Step 3: Cross multiply
    1,198.59x = 1,797.96 × 376.98
  4. Step 4: Simplify right side
    1,198.59x = 677,794.96
  5. Step 5: Solve for x
    x = 677,794.96/1,198.59
  6. Step 6: Final answer
    x = 565.49

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Double scale
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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.