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Finding the Fourth Proportional to 1,205.30, 1,806.60 and 620.08

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Solution

The fourth proportional to 1,205.30, 1,806.60 and 620.08 is: 929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.30 : 1,806.60 = 620.08 : x
  2. Step 2: Convert to fraction form
    1,205.30/1,806.60 = 620.08/x
  3. Step 3: Cross multiply
    1,205.30x = 1,806.60 × 620.08
  4. Step 4: Simplify right side
    1,205.30x = 1,120,236.53
  5. Step 5: Solve for x
    x = 1,120,236.53/1,205.30
  6. Step 6: Final answer
    x = 929.43

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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.