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Finding the Fourth Proportional to 1,297.93, 1,790.20 and 800.83

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Solution

The fourth proportional to 1,297.93, 1,790.20 and 800.83 is: 1,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.93 : 1,790.20 = 800.83 : x
  2. Step 2: Convert to fraction form
    1,297.93/1,790.20 = 800.83/x
  3. Step 3: Cross multiply
    1,297.93x = 1,790.20 × 800.83
  4. Step 4: Simplify right side
    1,297.93x = 1,433,645.87
  5. Step 5: Solve for x
    x = 1,433,645.87/1,297.93
  6. Step 6: Final answer
    x = 1,104.56

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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.