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Finding the Fourth Proportional to 1,414.76, 2,120.92 and 684.84

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Solution

The fourth proportional to 1,414.76, 2,120.92 and 684.84 is: 1,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.76 : 2,120.92 = 684.84 : x
  2. Step 2: Convert to fraction form
    1,414.76/2,120.92 = 684.84/x
  3. Step 3: Cross multiply
    1,414.76x = 2,120.92 × 684.84
  4. Step 4: Simplify right side
    1,414.76x = 1,452,490.85
  5. Step 5: Solve for x
    x = 1,452,490.85/1,414.76
  6. Step 6: Final answer
    x = 1,026.67

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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.