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Finding the Fourth Proportional to 825.45, 1,238.10 and 277.56

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Solution

The fourth proportional to 825.45, 1,238.10 and 277.56 is: 416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.45 : 1,238.10 = 277.56 : x
  2. Step 2: Convert to fraction form
    825.45/1,238.10 = 277.56/x
  3. Step 3: Cross multiply
    825.45x = 1,238.10 × 277.56
  4. Step 4: Simplify right side
    825.45x = 343,647.04
  5. Step 5: Solve for x
    x = 343,647.04/825.45
  6. Step 6: Final answer
    x = 416.31

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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.