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Finding the Fourth Proportional to 1,028.19, 1,418.07 and 696.09

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Solution

The fourth proportional to 1,028.19, 1,418.07 and 696.09 is: 960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.19 : 1,418.07 = 696.09 : x
  2. Step 2: Convert to fraction form
    1,028.19/1,418.07 = 696.09/x
  3. Step 3: Cross multiply
    1,028.19x = 1,418.07 × 696.09
  4. Step 4: Simplify right side
    1,028.19x = 987,104.35
  5. Step 5: Solve for x
    x = 987,104.35/1,028.19
  6. Step 6: Final answer
    x = 960.04

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1.5x scale

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.