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Finding the Fourth Proportional to 1,409.05, 1,944.62 and 779.73

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Solution

The fourth proportional to 1,409.05, 1,944.62 and 779.73 is: 1,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.05 : 1,944.62 = 779.73 : x
  2. Step 2: Convert to fraction form
    1,409.05/1,944.62 = 779.73/x
  3. Step 3: Cross multiply
    1,409.05x = 1,944.62 × 779.73
  4. Step 4: Simplify right side
    1,409.05x = 1,516,278.55
  5. Step 5: Solve for x
    x = 1,516,278.55/1,409.05
  6. Step 6: Final answer
    x = 1,076.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.