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Finding the Fourth Proportional to 1,161.00, 1,741.51 and 613.19

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Solution

The fourth proportional to 1,161.00, 1,741.51 and 613.19 is: 919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.00 : 1,741.51 = 613.19 : x
  2. Step 2: Convert to fraction form
    1,161.00/1,741.51 = 613.19/x
  3. Step 3: Cross multiply
    1,161.00x = 1,741.51 × 613.19
  4. Step 4: Simplify right side
    1,161.00x = 1,067,879.34
  5. Step 5: Solve for x
    x = 1,067,879.34/1,161.00
  6. Step 6: Final answer
    x = 919.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.