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Finding the Fourth Proportional to 945.60, 1,419.36 and 908.70

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Solution

The fourth proportional to 945.60, 1,419.36 and 908.70 is: 1,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.60 : 1,419.36 = 908.70 : x
  2. Step 2: Convert to fraction form
    945.60/1,419.36 = 908.70/x
  3. Step 3: Cross multiply
    945.60x = 1,419.36 × 908.70
  4. Step 4: Simplify right side
    945.60x = 1,289,772.43
  5. Step 5: Solve for x
    x = 1,289,772.43/945.60
  6. Step 6: Final answer
    x = 1,363.97

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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.