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Finding the Fourth Proportional to 1,161.44, 1,741.44 and 613.28

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Solution

The fourth proportional to 1,161.44, 1,741.44 and 613.28 is: 919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.44 : 1,741.44 = 613.28 : x
  2. Step 2: Convert to fraction form
    1,161.44/1,741.44 = 613.28/x
  3. Step 3: Cross multiply
    1,161.44x = 1,741.44 × 613.28
  4. Step 4: Simplify right side
    1,161.44x = 1,067,990.32
  5. Step 5: Solve for x
    x = 1,067,990.32/1,161.44
  6. Step 6: Final answer
    x = 919.54

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Why These Related Problems?

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