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Finding the Fourth Proportional to 1,297.19, 1,790.43 and 905.42

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Solution

The fourth proportional to 1,297.19, 1,790.43 and 905.42 is: 1,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.19 : 1,790.43 = 905.42 : x
  2. Step 2: Convert to fraction form
    1,297.19/1,790.43 = 905.42/x
  3. Step 3: Cross multiply
    1,297.19x = 1,790.43 × 905.42
  4. Step 4: Simplify right side
    1,297.19x = 1,621,091.13
  5. Step 5: Solve for x
    x = 1,621,091.13/1,297.19
  6. Step 6: Final answer
    x = 1,249.69

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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.