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Finding the Fourth Proportional to 919.09, 1,268.46 and 569.83

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Solution

The fourth proportional to 919.09, 1,268.46 and 569.83 is: 786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.09 : 1,268.46 = 569.83 : x
  2. Step 2: Convert to fraction form
    919.09/1,268.46 = 569.83/x
  3. Step 3: Cross multiply
    919.09x = 1,268.46 × 569.83
  4. Step 4: Simplify right side
    919.09x = 722,806.56
  5. Step 5: Solve for x
    x = 722,806.56/919.09
  6. Step 6: Final answer
    x = 786.44

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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.