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Finding the Fourth Proportional to 1,283.90, 1,922.18 and 850.18

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Solution

The fourth proportional to 1,283.90, 1,922.18 and 850.18 is: 1,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.90 : 1,922.18 = 850.18 : x
  2. Step 2: Convert to fraction form
    1,283.90/1,922.18 = 850.18/x
  3. Step 3: Cross multiply
    1,283.90x = 1,922.18 × 850.18
  4. Step 4: Simplify right side
    1,283.90x = 1,634,198.99
  5. Step 5: Solve for x
    x = 1,634,198.99/1,283.90
  6. Step 6: Final answer
    x = 1,272.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.