Home / 1,419.10-1,958.26-789.58

Finding the Fourth Proportional to 1,419.10, 1,958.26 and 789.58

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Solution

The fourth proportional to 1,419.10, 1,958.26 and 789.58 is: 1,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.10 : 1,958.26 = 789.58 : x
  2. Step 2: Convert to fraction form
    1,419.10/1,958.26 = 789.58/x
  3. Step 3: Cross multiply
    1,419.10x = 1,958.26 × 789.58
  4. Step 4: Simplify right side
    1,419.10x = 1,546,202.93
  5. Step 5: Solve for x
    x = 1,546,202.93/1,419.10
  6. Step 6: Final answer
    x = 1,089.57

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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.