Home / 1,028.15-1,418.99-586.09

Finding the Fourth Proportional to 1,028.15, 1,418.99 and 586.09

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Solution

The fourth proportional to 1,028.15, 1,418.99 and 586.09 is: 808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.15 : 1,418.99 = 586.09 : x
  2. Step 2: Convert to fraction form
    1,028.15/1,418.99 = 586.09/x
  3. Step 3: Cross multiply
    1,028.15x = 1,418.99 × 586.09
  4. Step 4: Simplify right side
    1,028.15x = 831,655.85
  5. Step 5: Solve for x
    x = 831,655.85/1,028.15
  6. Step 6: Final answer
    x = 808.89

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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.