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Finding the Fourth Proportional to 1,268.57, 1,751.32 and 974.81

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Solution

The fourth proportional to 1,268.57, 1,751.32 and 974.81 is: 1,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.57 : 1,751.32 = 974.81 : x
  2. Step 2: Convert to fraction form
    1,268.57/1,751.32 = 974.81/x
  3. Step 3: Cross multiply
    1,268.57x = 1,751.32 × 974.81
  4. Step 4: Simplify right side
    1,268.57x = 1,707,209.85
  5. Step 5: Solve for x
    x = 1,707,209.85/1,268.57
  6. Step 6: Final answer
    x = 1,345.77

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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.