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Finding the Fourth Proportional to 920.14, 1,268.95 and 605.28

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Solution

The fourth proportional to 920.14, 1,268.95 and 605.28 is: 834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.14 : 1,268.95 = 605.28 : x
  2. Step 2: Convert to fraction form
    920.14/1,268.95 = 605.28/x
  3. Step 3: Cross multiply
    920.14x = 1,268.95 × 605.28
  4. Step 4: Simplify right side
    920.14x = 768,070.06
  5. Step 5: Solve for x
    x = 768,070.06/920.14
  6. Step 6: Final answer
    x = 834.73

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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.