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Finding the Fourth Proportional to 1,469.18, 2,203.43 and 428.95

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Solution

The fourth proportional to 1,469.18, 2,203.43 and 428.95 is: 643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.18 : 2,203.43 = 428.95 : x
  2. Step 2: Convert to fraction form
    1,469.18/2,203.43 = 428.95/x
  3. Step 3: Cross multiply
    1,469.18x = 2,203.43 × 428.95
  4. Step 4: Simplify right side
    1,469.18x = 945,161.30
  5. Step 5: Solve for x
    x = 945,161.30/1,469.18
  6. Step 6: Final answer
    x = 643.33

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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.