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Finding the Fourth Proportional to 1,150.82, 1,587.91 and 796.19

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Solution

The fourth proportional to 1,150.82, 1,587.91 and 796.19 is: 1,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.82 : 1,587.91 = 796.19 : x
  2. Step 2: Convert to fraction form
    1,150.82/1,587.91 = 796.19/x
  3. Step 3: Cross multiply
    1,150.82x = 1,587.91 × 796.19
  4. Step 4: Simplify right side
    1,150.82x = 1,264,278.06
  5. Step 5: Solve for x
    x = 1,264,278.06/1,150.82
  6. Step 6: Final answer
    x = 1,098.59

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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.