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Finding the Fourth Proportional to 919.14, 1,268.41 and 499.49

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Solution

The fourth proportional to 919.14, 1,268.41 and 499.49 is: 689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.14 : 1,268.41 = 499.49 : x
  2. Step 2: Convert to fraction form
    919.14/1,268.41 = 499.49/x
  3. Step 3: Cross multiply
    919.14x = 1,268.41 × 499.49
  4. Step 4: Simplify right side
    919.14x = 633,558.11
  5. Step 5: Solve for x
    x = 633,558.11/919.14
  6. Step 6: Final answer
    x = 689.29

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