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Finding the Fourth Proportional to 1,804.06, 2,706.06 and 505.60

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Solution

The fourth proportional to 1,804.06, 2,706.06 and 505.60 is: 758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.06 : 2,706.06 = 505.60 : x
  2. Step 2: Convert to fraction form
    1,804.06/2,706.06 = 505.60/x
  3. Step 3: Cross multiply
    1,804.06x = 2,706.06 × 505.60
  4. Step 4: Simplify right side
    1,804.06x = 1,368,183.94
  5. Step 5: Solve for x
    x = 1,368,183.94/1,804.06
  6. Step 6: Final answer
    x = 758.39

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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.