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Finding the Fourth Proportional to 919.54, 1,378.09 and 674.92

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Solution

The fourth proportional to 919.54, 1,378.09 and 674.92 is: 1,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.54 : 1,378.09 = 674.92 : x
  2. Step 2: Convert to fraction form
    919.54/1,378.09 = 674.92/x
  3. Step 3: Cross multiply
    919.54x = 1,378.09 × 674.92
  4. Step 4: Simplify right side
    919.54x = 930,100.50
  5. Step 5: Solve for x
    x = 930,100.50/919.54
  6. Step 6: Final answer
    x = 1,011.48

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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.