Home / 1,028.45-1,419.26-586.33

Finding the Fourth Proportional to 1,028.45, 1,419.26 and 586.33

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Solution

The fourth proportional to 1,028.45, 1,419.26 and 586.33 is: 809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.45 : 1,419.26 = 586.33 : x
  2. Step 2: Convert to fraction form
    1,028.45/1,419.26 = 586.33/x
  3. Step 3: Cross multiply
    1,028.45x = 1,419.26 × 586.33
  4. Step 4: Simplify right side
    1,028.45x = 832,151.78
  5. Step 5: Solve for x
    x = 832,151.78/1,028.45
  6. Step 6: Final answer
    x = 809.14

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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.