Home / 1,419.12-1,958.09-829.54

Finding the Fourth Proportional to 1,419.12, 1,958.09 and 829.54

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Solution

The fourth proportional to 1,419.12, 1,958.09 and 829.54 is: 1,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.12 : 1,958.09 = 829.54 : x
  2. Step 2: Convert to fraction form
    1,419.12/1,958.09 = 829.54/x
  3. Step 3: Cross multiply
    1,419.12x = 1,958.09 × 829.54
  4. Step 4: Simplify right side
    1,419.12x = 1,624,315.39
  5. Step 5: Solve for x
    x = 1,624,315.39/1,419.12
  6. Step 6: Final answer
    x = 1,144.59

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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.