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Finding the Fourth Proportional to 813.80, 1,219.27 and 684.65

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Solution

The fourth proportional to 813.80, 1,219.27 and 684.65 is: 1,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.80 : 1,219.27 = 684.65 : x
  2. Step 2: Convert to fraction form
    813.80/1,219.27 = 684.65/x
  3. Step 3: Cross multiply
    813.80x = 1,219.27 × 684.65
  4. Step 4: Simplify right side
    813.80x = 834,773.21
  5. Step 5: Solve for x
    x = 834,773.21/813.80
  6. Step 6: Final answer
    x = 1,025.77

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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.