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Finding the Fourth Proportional to 1,268.97, 1,904.81 and 856.68

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Solution

The fourth proportional to 1,268.97, 1,904.81 and 856.68 is: 1,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.97 : 1,904.81 = 856.68 : x
  2. Step 2: Convert to fraction form
    1,268.97/1,904.81 = 856.68/x
  3. Step 3: Cross multiply
    1,268.97x = 1,904.81 × 856.68
  4. Step 4: Simplify right side
    1,268.97x = 1,631,808.35
  5. Step 5: Solve for x
    x = 1,631,808.35/1,268.97
  6. Step 6: Final answer
    x = 1,285.93

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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.