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Finding the Fourth Proportional to 816.85, 1,226.85 and 699.98

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Solution

The fourth proportional to 816.85, 1,226.85 and 699.98 is: 1,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.85 : 1,226.85 = 699.98 : x
  2. Step 2: Convert to fraction form
    816.85/1,226.85 = 699.98/x
  3. Step 3: Cross multiply
    816.85x = 1,226.85 × 699.98
  4. Step 4: Simplify right side
    816.85x = 858,766.30
  5. Step 5: Solve for x
    x = 858,766.30/816.85
  6. Step 6: Final answer
    x = 1,051.32

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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.