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Finding the Fourth Proportional to 828.25, 1,241.73 and 437.74

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Solution

The fourth proportional to 828.25, 1,241.73 and 437.74 is: 656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.25 : 1,241.73 = 437.74 : x
  2. Step 2: Convert to fraction form
    828.25/1,241.73 = 437.74/x
  3. Step 3: Cross multiply
    828.25x = 1,241.73 × 437.74
  4. Step 4: Simplify right side
    828.25x = 543,554.89
  5. Step 5: Solve for x
    x = 543,554.89/828.25
  6. Step 6: Final answer
    x = 656.27

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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.