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Finding the Fourth Proportional to 1,213.85, 1,821.17 and 996.86

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Solution

The fourth proportional to 1,213.85, 1,821.17 and 996.86 is: 1,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.85 : 1,821.17 = 996.86 : x
  2. Step 2: Convert to fraction form
    1,213.85/1,821.17 = 996.86/x
  3. Step 3: Cross multiply
    1,213.85x = 1,821.17 × 996.86
  4. Step 4: Simplify right side
    1,213.85x = 1,815,451.53
  5. Step 5: Solve for x
    x = 1,815,451.53/1,213.85
  6. Step 6: Final answer
    x = 1,495.61

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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.