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Finding the Fourth Proportional to 919.22, 1,268.81 and 588.53

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Solution

The fourth proportional to 919.22, 1,268.81 and 588.53 is: 812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.22 : 1,268.81 = 588.53 : x
  2. Step 2: Convert to fraction form
    919.22/1,268.81 = 588.53/x
  3. Step 3: Cross multiply
    919.22x = 1,268.81 × 588.53
  4. Step 4: Simplify right side
    919.22x = 746,737.39
  5. Step 5: Solve for x
    x = 746,737.39/919.22
  6. Step 6: Final answer
    x = 812.36

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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.