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Finding the Fourth Proportional to 919.24, 1,268.02 and 569.68

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Solution

The fourth proportional to 919.24, 1,268.02 and 569.68 is: 785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.24 : 1,268.02 = 569.68 : x
  2. Step 2: Convert to fraction form
    919.24/1,268.02 = 569.68/x
  3. Step 3: Cross multiply
    919.24x = 1,268.02 × 569.68
  4. Step 4: Simplify right side
    919.24x = 722,365.63
  5. Step 5: Solve for x
    x = 722,365.63/919.24
  6. Step 6: Final answer
    x = 785.83

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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.