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Finding the Fourth Proportional to 1,330.40, 1,993.20 and 1,085.60

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Solution

The fourth proportional to 1,330.40, 1,993.20 and 1,085.60 is: 1,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.40 : 1,993.20 = 1,085.60 : x
  2. Step 2: Convert to fraction form
    1,330.40/1,993.20 = 1,085.60/x
  3. Step 3: Cross multiply
    1,330.40x = 1,993.20 × 1,085.60
  4. Step 4: Simplify right side
    1,330.40x = 2,163,817.92
  5. Step 5: Solve for x
    x = 2,163,817.92/1,330.40
  6. Step 6: Final answer
    x = 1,626.44

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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.