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Finding the Fourth Proportional to 1,028.25, 1,418.99 and 586.17

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Solution

The fourth proportional to 1,028.25, 1,418.99 and 586.17 is: 808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.25 : 1,418.99 = 586.17 : x
  2. Step 2: Convert to fraction form
    1,028.25/1,418.99 = 586.17/x
  3. Step 3: Cross multiply
    1,028.25x = 1,418.99 × 586.17
  4. Step 4: Simplify right side
    1,028.25x = 831,766.44
  5. Step 5: Solve for x
    x = 831,766.44/1,028.25
  6. Step 6: Final answer
    x = 808.91

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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.