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Finding the Fourth Proportional to 1,353.06, 2,028.16 and 622.03

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Solution

The fourth proportional to 1,353.06, 2,028.16 and 622.03 is: 932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.06 : 2,028.16 = 622.03 : x
  2. Step 2: Convert to fraction form
    1,353.06/2,028.16 = 622.03/x
  3. Step 3: Cross multiply
    1,353.06x = 2,028.16 × 622.03
  4. Step 4: Simplify right side
    1,353.06x = 1,261,576.36
  5. Step 5: Solve for x
    x = 1,261,576.36/1,353.06
  6. Step 6: Final answer
    x = 932.39

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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.