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Finding the Fourth Proportional to 1,268.57, 1,750.64 and 744.61

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Solution

The fourth proportional to 1,268.57, 1,750.64 and 744.61 is: 1,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.57 : 1,750.64 = 744.61 : x
  2. Step 2: Convert to fraction form
    1,268.57/1,750.64 = 744.61/x
  3. Step 3: Cross multiply
    1,268.57x = 1,750.64 × 744.61
  4. Step 4: Simplify right side
    1,268.57x = 1,303,544.05
  5. Step 5: Solve for x
    x = 1,303,544.05/1,268.57
  6. Step 6: Final answer
    x = 1,027.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.