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Finding the Fourth Proportional to 825.32, 1,238.07 and 277.56

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Solution

The fourth proportional to 825.32, 1,238.07 and 277.56 is: 416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.32 : 1,238.07 = 277.56 : x
  2. Step 2: Convert to fraction form
    825.32/1,238.07 = 277.56/x
  3. Step 3: Cross multiply
    825.32x = 1,238.07 × 277.56
  4. Step 4: Simplify right side
    825.32x = 343,638.71
  5. Step 5: Solve for x
    x = 343,638.71/825.32
  6. Step 6: Final answer
    x = 416.37

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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.