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Finding the Fourth Proportional to 1,343.91, 2,016.09 and 419.28

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Solution

The fourth proportional to 1,343.91, 2,016.09 and 419.28 is: 628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.91 : 2,016.09 = 419.28 : x
  2. Step 2: Convert to fraction form
    1,343.91/2,016.09 = 419.28/x
  3. Step 3: Cross multiply
    1,343.91x = 2,016.09 × 419.28
  4. Step 4: Simplify right side
    1,343.91x = 845,306.22
  5. Step 5: Solve for x
    x = 845,306.22/1,343.91
  6. Step 6: Final answer
    x = 628.99

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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.