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Finding the Fourth Proportional to 1,419.06, 1,958.34 and 789.60

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Solution

The fourth proportional to 1,419.06, 1,958.34 and 789.60 is: 1,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.06 : 1,958.34 = 789.60 : x
  2. Step 2: Convert to fraction form
    1,419.06/1,958.34 = 789.60/x
  3. Step 3: Cross multiply
    1,419.06x = 1,958.34 × 789.60
  4. Step 4: Simplify right side
    1,419.06x = 1,546,305.26
  5. Step 5: Solve for x
    x = 1,546,305.26/1,419.06
  6. Step 6: Final answer
    x = 1,089.67

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Why These Related Problems?

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