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Finding the Fourth Proportional to 943.54, 1,418.38 and 580.63

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Solution

The fourth proportional to 943.54, 1,418.38 and 580.63 is: 872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.54 : 1,418.38 = 580.63 : x
  2. Step 2: Convert to fraction form
    943.54/1,418.38 = 580.63/x
  3. Step 3: Cross multiply
    943.54x = 1,418.38 × 580.63
  4. Step 4: Simplify right side
    943.54x = 823,548.98
  5. Step 5: Solve for x
    x = 823,548.98/943.54
  6. Step 6: Final answer
    x = 872.83

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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.