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Finding the Fourth Proportional to 1,305.67, 1,958.31 and 428.26

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Solution

The fourth proportional to 1,305.67, 1,958.31 and 428.26 is: 642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.67 : 1,958.31 = 428.26 : x
  2. Step 2: Convert to fraction form
    1,305.67/1,958.31 = 428.26/x
  3. Step 3: Cross multiply
    1,305.67x = 1,958.31 × 428.26
  4. Step 4: Simplify right side
    1,305.67x = 838,665.84
  5. Step 5: Solve for x
    x = 838,665.84/1,305.67
  6. Step 6: Final answer
    x = 642.33

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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.