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Finding the Fourth Proportional to 1,290.63, 1,779.39 and 936.27

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Solution

The fourth proportional to 1,290.63, 1,779.39 and 936.27 is: 1,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.63 : 1,779.39 = 936.27 : x
  2. Step 2: Convert to fraction form
    1,290.63/1,779.39 = 936.27/x
  3. Step 3: Cross multiply
    1,290.63x = 1,779.39 × 936.27
  4. Step 4: Simplify right side
    1,290.63x = 1,665,989.48
  5. Step 5: Solve for x
    x = 1,665,989.48/1,290.63
  6. Step 6: Final answer
    x = 1,290.83

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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.