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Finding the Fourth Proportional to 919.71, 1,268.87 and 605.15

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Solution

The fourth proportional to 919.71, 1,268.87 and 605.15 is: 834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.71 : 1,268.87 = 605.15 : x
  2. Step 2: Convert to fraction form
    919.71/1,268.87 = 605.15/x
  3. Step 3: Cross multiply
    919.71x = 1,268.87 × 605.15
  4. Step 4: Simplify right side
    919.71x = 767,852.07
  5. Step 5: Solve for x
    x = 767,852.07/919.71
  6. Step 6: Final answer
    x = 834.88

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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.