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Finding the Fourth Proportional to 906.78, 1,358.81 and 809.28

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Solution

The fourth proportional to 906.78, 1,358.81 and 809.28 is: 1,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.78 : 1,358.81 = 809.28 : x
  2. Step 2: Convert to fraction form
    906.78/1,358.81 = 809.28/x
  3. Step 3: Cross multiply
    906.78x = 1,358.81 × 809.28
  4. Step 4: Simplify right side
    906.78x = 1,099,657.76
  5. Step 5: Solve for x
    x = 1,099,657.76/906.78
  6. Step 6: Final answer
    x = 1,212.71

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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.