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Finding the Fourth Proportional to 1,268.94, 1,903.60 and 391.26

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Solution

The fourth proportional to 1,268.94, 1,903.60 and 391.26 is: 586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.94 : 1,903.60 = 391.26 : x
  2. Step 2: Convert to fraction form
    1,268.94/1,903.60 = 391.26/x
  3. Step 3: Cross multiply
    1,268.94x = 1,903.60 × 391.26
  4. Step 4: Simplify right side
    1,268.94x = 744,802.54
  5. Step 5: Solve for x
    x = 744,802.54/1,268.94
  6. Step 6: Final answer
    x = 586.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.