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Finding the Fourth Proportional to 919.13, 1,268.09 and 520.75

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Solution

The fourth proportional to 919.13, 1,268.09 and 520.75 is: 718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.13 : 1,268.09 = 520.75 : x
  2. Step 2: Convert to fraction form
    919.13/1,268.09 = 520.75/x
  3. Step 3: Cross multiply
    919.13x = 1,268.09 × 520.75
  4. Step 4: Simplify right side
    919.13x = 660,355.26
  5. Step 5: Solve for x
    x = 660,355.26/919.13
  6. Step 6: Final answer
    x = 718.46

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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.