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Finding the Fourth Proportional to 825.26, 1,237.89 and 208.96

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Solution

The fourth proportional to 825.26, 1,237.89 and 208.96 is: 313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.26 : 1,237.89 = 208.96 : x
  2. Step 2: Convert to fraction form
    825.26/1,237.89 = 208.96/x
  3. Step 3: Cross multiply
    825.26x = 1,237.89 × 208.96
  4. Step 4: Simplify right side
    825.26x = 258,674.15
  5. Step 5: Solve for x
    x = 258,674.15/825.26
  6. Step 6: Final answer
    x = 313.45

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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.