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Finding the Fourth Proportional to 1,249.57, 1,873.94 and 416.44

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Solution

The fourth proportional to 1,249.57, 1,873.94 and 416.44 is: 624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.57 : 1,873.94 = 416.44 : x
  2. Step 2: Convert to fraction form
    1,249.57/1,873.94 = 416.44/x
  3. Step 3: Cross multiply
    1,249.57x = 1,873.94 × 416.44
  4. Step 4: Simplify right side
    1,249.57x = 780,383.83
  5. Step 5: Solve for x
    x = 780,383.83/1,249.57
  6. Step 6: Final answer
    x = 624.52

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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.