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Finding the Fourth Proportional to 3,297.98, 4,946.96 and 832.99

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Solution

The fourth proportional to 3,297.98, 4,946.96 and 832.99 is: 1,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.98 : 4,946.96 = 832.99 : x
  2. Step 2: Convert to fraction form
    3,297.98/4,946.96 = 832.99/x
  3. Step 3: Cross multiply
    3,297.98x = 4,946.96 × 832.99
  4. Step 4: Simplify right side
    3,297.98x = 4,120,768.21
  5. Step 5: Solve for x
    x = 4,120,768.21/3,297.98
  6. Step 6: Final answer
    x = 1,249.48

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Half scale
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Double scale
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Similar ratio
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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.