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Finding the Fourth Proportional to 1,273.64, 1,757.58 and 721.64

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Solution

The fourth proportional to 1,273.64, 1,757.58 and 721.64 is: 995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.64 : 1,757.58 = 721.64 : x
  2. Step 2: Convert to fraction form
    1,273.64/1,757.58 = 721.64/x
  3. Step 3: Cross multiply
    1,273.64x = 1,757.58 × 721.64
  4. Step 4: Simplify right side
    1,273.64x = 1,268,340.03
  5. Step 5: Solve for x
    x = 1,268,340.03/1,273.64
  6. Step 6: Final answer
    x = 995.84

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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.