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Finding the Fourth Proportional to 1,268.37, 1,903.92 and 1,065.16

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Solution

The fourth proportional to 1,268.37, 1,903.92 and 1,065.16 is: 1,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.37 : 1,903.92 = 1,065.16 : x
  2. Step 2: Convert to fraction form
    1,268.37/1,903.92 = 1,065.16/x
  3. Step 3: Cross multiply
    1,268.37x = 1,903.92 × 1,065.16
  4. Step 4: Simplify right side
    1,268.37x = 2,027,979.43
  5. Step 5: Solve for x
    x = 2,027,979.43/1,268.37
  6. Step 6: Final answer
    x = 1,598.89

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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.