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Finding the Fourth Proportional to 919.18, 1,269.84 and 744.22

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Solution

The fourth proportional to 919.18, 1,269.84 and 744.22 is: 1,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.18 : 1,269.84 = 744.22 : x
  2. Step 2: Convert to fraction form
    919.18/1,269.84 = 744.22/x
  3. Step 3: Cross multiply
    919.18x = 1,269.84 × 744.22
  4. Step 4: Simplify right side
    919.18x = 945,040.32
  5. Step 5: Solve for x
    x = 945,040.32/919.18
  6. Step 6: Final answer
    x = 1,028.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.