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Finding the Fourth Proportional to 919.23, 1,268.72 and 565.32

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Solution

The fourth proportional to 919.23, 1,268.72 and 565.32 is: 780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.23 : 1,268.72 = 565.32 : x
  2. Step 2: Convert to fraction form
    919.23/1,268.72 = 565.32/x
  3. Step 3: Cross multiply
    919.23x = 1,268.72 × 565.32
  4. Step 4: Simplify right side
    919.23x = 717,236.84
  5. Step 5: Solve for x
    x = 717,236.84/919.23
  6. Step 6: Final answer
    x = 780.26

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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.