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Finding the Fourth Proportional to 1,245.77, 1,865.31 and 696.39

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Solution

The fourth proportional to 1,245.77, 1,865.31 and 696.39 is: 1,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.77 : 1,865.31 = 696.39 : x
  2. Step 2: Convert to fraction form
    1,245.77/1,865.31 = 696.39/x
  3. Step 3: Cross multiply
    1,245.77x = 1,865.31 × 696.39
  4. Step 4: Simplify right side
    1,245.77x = 1,298,977.54
  5. Step 5: Solve for x
    x = 1,298,977.54/1,245.77
  6. Step 6: Final answer
    x = 1,042.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.