Home / 1,028.97-1,419.69-609.14

Finding the Fourth Proportional to 1,028.97, 1,419.69 and 609.14

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Solution

The fourth proportional to 1,028.97, 1,419.69 and 609.14 is: 840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.97 : 1,419.69 = 609.14 : x
  2. Step 2: Convert to fraction form
    1,028.97/1,419.69 = 609.14/x
  3. Step 3: Cross multiply
    1,028.97x = 1,419.69 × 609.14
  4. Step 4: Simplify right side
    1,028.97x = 864,779.82
  5. Step 5: Solve for x
    x = 864,779.82/1,028.97
  6. Step 6: Final answer
    x = 840.43

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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.