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Finding the Fourth Proportional to 828.54, 1,241.28 and 698.58

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Solution

The fourth proportional to 828.54, 1,241.28 and 698.58 is: 1,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.54 : 1,241.28 = 698.58 : x
  2. Step 2: Convert to fraction form
    828.54/1,241.28 = 698.58/x
  3. Step 3: Cross multiply
    828.54x = 1,241.28 × 698.58
  4. Step 4: Simplify right side
    828.54x = 867,133.38
  5. Step 5: Solve for x
    x = 867,133.38/828.54
  6. Step 6: Final answer
    x = 1,046.58

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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.