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Finding the Fourth Proportional to 943.92, 1,416.96 and 889.92

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Solution

The fourth proportional to 943.92, 1,416.96 and 889.92 is: 1,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.92 : 1,416.96 = 889.92 : x
  2. Step 2: Convert to fraction form
    943.92/1,416.96 = 889.92/x
  3. Step 3: Cross multiply
    943.92x = 1,416.96 × 889.92
  4. Step 4: Simplify right side
    943.92x = 1,260,981.04
  5. Step 5: Solve for x
    x = 1,260,981.04/943.92
  6. Step 6: Final answer
    x = 1,335.90

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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.