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Finding the Fourth Proportional to 1,414.72, 2,119.11 and 719.28

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Solution

The fourth proportional to 1,414.72, 2,119.11 and 719.28 is: 1,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.72 : 2,119.11 = 719.28 : x
  2. Step 2: Convert to fraction form
    1,414.72/2,119.11 = 719.28/x
  3. Step 3: Cross multiply
    1,414.72x = 2,119.11 × 719.28
  4. Step 4: Simplify right side
    1,414.72x = 1,524,234.79
  5. Step 5: Solve for x
    x = 1,524,234.79/1,414.72
  6. Step 6: Final answer
    x = 1,077.41

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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.