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Finding the Fourth Proportional to 1,414.88, 2,119.04 and 682.08

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Solution

The fourth proportional to 1,414.88, 2,119.04 and 682.08 is: 1,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.88 : 2,119.04 = 682.08 : x
  2. Step 2: Convert to fraction form
    1,414.88/2,119.04 = 682.08/x
  3. Step 3: Cross multiply
    1,414.88x = 2,119.04 × 682.08
  4. Step 4: Simplify right side
    1,414.88x = 1,445,354.80
  5. Step 5: Solve for x
    x = 1,445,354.80/1,414.88
  6. Step 6: Final answer
    x = 1,021.54

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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.