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Finding the Fourth Proportional to 1,181.41, 1,770.77 and 919.48

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Solution

The fourth proportional to 1,181.41, 1,770.77 and 919.48 is: 1,378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.41 : 1,770.77 = 919.48 : x
  2. Step 2: Convert to fraction form
    1,181.41/1,770.77 = 919.48/x
  3. Step 3: Cross multiply
    1,181.41x = 1,770.77 × 919.48
  4. Step 4: Simplify right side
    1,181.41x = 1,628,178.75
  5. Step 5: Solve for x
    x = 1,628,178.75/1,181.41
  6. Step 6: Final answer
    x = 1,378.17

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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.