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Finding the Fourth Proportional to 1,804.26, 2,706.63 and 708.49

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Solution

The fourth proportional to 1,804.26, 2,706.63 and 708.49 is: 1,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.26 : 2,706.63 = 708.49 : x
  2. Step 2: Convert to fraction form
    1,804.26/2,706.63 = 708.49/x
  3. Step 3: Cross multiply
    1,804.26x = 2,706.63 × 708.49
  4. Step 4: Simplify right side
    1,804.26x = 1,917,620.29
  5. Step 5: Solve for x
    x = 1,917,620.29/1,804.26
  6. Step 6: Final answer
    x = 1,062.83

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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.