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Finding the Fourth Proportional to 1,028.16, 1,418.99 and 696.60

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Solution

The fourth proportional to 1,028.16, 1,418.99 and 696.60 is: 961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.16 : 1,418.99 = 696.60 : x
  2. Step 2: Convert to fraction form
    1,028.16/1,418.99 = 696.60/x
  3. Step 3: Cross multiply
    1,028.16x = 1,418.99 × 696.60
  4. Step 4: Simplify right side
    1,028.16x = 988,464.95
  5. Step 5: Solve for x
    x = 988,464.95/1,028.16
  6. Step 6: Final answer
    x = 961.39

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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.