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Finding the Fourth Proportional to 828.06, 1,241.40 and 307.73

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Solution

The fourth proportional to 828.06, 1,241.40 and 307.73 is: 461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.06 : 1,241.40 = 307.73 : x
  2. Step 2: Convert to fraction form
    828.06/1,241.40 = 307.73/x
  3. Step 3: Cross multiply
    828.06x = 1,241.40 × 307.73
  4. Step 4: Simplify right side
    828.06x = 382,016.02
  5. Step 5: Solve for x
    x = 382,016.02/828.06
  6. Step 6: Final answer
    x = 461.34

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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.