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Finding the Fourth Proportional to 1,419.05, 1,958.29 and 798.05

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Solution

The fourth proportional to 1,419.05, 1,958.29 and 798.05 is: 1,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.05 : 1,958.29 = 798.05 : x
  2. Step 2: Convert to fraction form
    1,419.05/1,958.29 = 798.05/x
  3. Step 3: Cross multiply
    1,419.05x = 1,958.29 × 798.05
  4. Step 4: Simplify right side
    1,419.05x = 1,562,816.24
  5. Step 5: Solve for x
    x = 1,562,816.24/1,419.05
  6. Step 6: Final answer
    x = 1,101.31

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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.