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Finding the Fourth Proportional to 1,255.78, 1,733.05 and 696.32

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Solution

The fourth proportional to 1,255.78, 1,733.05 and 696.32 is: 960.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.78 : 1,733.05 = 696.32 : x
  2. Step 2: Convert to fraction form
    1,255.78/1,733.05 = 696.32/x
  3. Step 3: Cross multiply
    1,255.78x = 1,733.05 × 696.32
  4. Step 4: Simplify right side
    1,255.78x = 1,206,745.23
  5. Step 5: Solve for x
    x = 1,206,745.23/1,255.78
  6. Step 6: Final answer
    x = 960.95

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1.5x scale

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.