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Finding the Fourth Proportional to 825.78, 1,238.70 and 277.98

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Solution

The fourth proportional to 825.78, 1,238.70 and 277.98 is: 416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.78 : 1,238.70 = 277.98 : x
  2. Step 2: Convert to fraction form
    825.78/1,238.70 = 277.98/x
  3. Step 3: Cross multiply
    825.78x = 1,238.70 × 277.98
  4. Step 4: Simplify right side
    825.78x = 344,333.83
  5. Step 5: Solve for x
    x = 344,333.83/825.78
  6. Step 6: Final answer
    x = 416.98

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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.