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Finding the Fourth Proportional to 1,255.72, 1,733.00 and 696.24

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Solution

The fourth proportional to 1,255.72, 1,733.00 and 696.24 is: 960.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.72 : 1,733.00 = 696.24 : x
  2. Step 2: Convert to fraction form
    1,255.72/1,733.00 = 696.24/x
  3. Step 3: Cross multiply
    1,255.72x = 1,733.00 × 696.24
  4. Step 4: Simplify right side
    1,255.72x = 1,206,580.44
  5. Step 5: Solve for x
    x = 1,206,580.44/1,255.72
  6. Step 6: Final answer
    x = 960.87

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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.