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Finding the Fourth Proportional to 825.60, 1,238.40 and 277.82

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Solution

The fourth proportional to 825.60, 1,238.40 and 277.82 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.60 : 1,238.40 = 277.82 : x
  2. Step 2: Convert to fraction form
    825.60/1,238.40 = 277.82/x
  3. Step 3: Cross multiply
    825.60x = 1,238.40 × 277.82
  4. Step 4: Simplify right side
    825.60x = 344,057.23
  5. Step 5: Solve for x
    x = 344,057.23/825.60
  6. Step 6: Final answer
    x = 416.74

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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.