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Finding the Fourth Proportional to 1,072.08, 1,608.56 and 423.28

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Solution

The fourth proportional to 1,072.08, 1,608.56 and 423.28 is: 635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.08 : 1,608.56 = 423.28 : x
  2. Step 2: Convert to fraction form
    1,072.08/1,608.56 = 423.28/x
  3. Step 3: Cross multiply
    1,072.08x = 1,608.56 × 423.28
  4. Step 4: Simplify right side
    1,072.08x = 680,871.28
  5. Step 5: Solve for x
    x = 680,871.28/1,072.08
  6. Step 6: Final answer
    x = 635.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.