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Finding the Fourth Proportional to 1,414.95, 2,121.32 and 684.33

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Solution

The fourth proportional to 1,414.95, 2,121.32 and 684.33 is: 1,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.95 : 2,121.32 = 684.33 : x
  2. Step 2: Convert to fraction form
    1,414.95/2,121.32 = 684.33/x
  3. Step 3: Cross multiply
    1,414.95x = 2,121.32 × 684.33
  4. Step 4: Simplify right side
    1,414.95x = 1,451,679.49
  5. Step 5: Solve for x
    x = 1,451,679.49/1,414.95
  6. Step 6: Final answer
    x = 1,025.96

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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.