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Finding the Fourth Proportional to 1,419.60, 1,960.20 and 978.96

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Solution

The fourth proportional to 1,419.60, 1,960.20 and 978.96 is: 1,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.60 : 1,960.20 = 978.96 : x
  2. Step 2: Convert to fraction form
    1,419.60/1,960.20 = 978.96/x
  3. Step 3: Cross multiply
    1,419.60x = 1,960.20 × 978.96
  4. Step 4: Simplify right side
    1,419.60x = 1,918,957.39
  5. Step 5: Solve for x
    x = 1,918,957.39/1,419.60
  6. Step 6: Final answer
    x = 1,351.76

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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.