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Finding the Fourth Proportional to 1,290.89, 1,936.34 and 425.21

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Solution

The fourth proportional to 1,290.89, 1,936.34 and 425.21 is: 637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.89 : 1,936.34 = 425.21 : x
  2. Step 2: Convert to fraction form
    1,290.89/1,936.34 = 425.21/x
  3. Step 3: Cross multiply
    1,290.89x = 1,936.34 × 425.21
  4. Step 4: Simplify right side
    1,290.89x = 823,339.32
  5. Step 5: Solve for x
    x = 823,339.32/1,290.89
  6. Step 6: Final answer
    x = 637.81

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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.