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Finding the Fourth Proportional to 919.56, 1,378.44 and 838.56

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Solution

The fourth proportional to 919.56, 1,378.44 and 838.56 is: 1,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.56 : 1,378.44 = 838.56 : x
  2. Step 2: Convert to fraction form
    919.56/1,378.44 = 838.56/x
  3. Step 3: Cross multiply
    919.56x = 1,378.44 × 838.56
  4. Step 4: Simplify right side
    919.56x = 1,155,904.65
  5. Step 5: Solve for x
    x = 1,155,904.65/919.56
  6. Step 6: Final answer
    x = 1,257.02

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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.