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Finding the Fourth Proportional to 1,288.26, 1,779.09 and 890.97

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Solution

The fourth proportional to 1,288.26, 1,779.09 and 890.97 is: 1,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.26 : 1,779.09 = 890.97 : x
  2. Step 2: Convert to fraction form
    1,288.26/1,779.09 = 890.97/x
  3. Step 3: Cross multiply
    1,288.26x = 1,779.09 × 890.97
  4. Step 4: Simplify right side
    1,288.26x = 1,585,115.82
  5. Step 5: Solve for x
    x = 1,585,115.82/1,288.26
  6. Step 6: Final answer
    x = 1,230.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.