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Finding the Fourth Proportional to 943.87, 1,414.96 and 596.95

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Solution

The fourth proportional to 943.87, 1,414.96 and 596.95 is: 894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.87 : 1,414.96 = 596.95 : x
  2. Step 2: Convert to fraction form
    943.87/1,414.96 = 596.95/x
  3. Step 3: Cross multiply
    943.87x = 1,414.96 × 596.95
  4. Step 4: Simplify right side
    943.87x = 844,660.37
  5. Step 5: Solve for x
    x = 844,660.37/943.87
  6. Step 6: Final answer
    x = 894.89

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Why These Related Problems?

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