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Finding the Fourth Proportional to 820.44, 1,228.68 and 684.36

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Solution

The fourth proportional to 820.44, 1,228.68 and 684.36 is: 1,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.44 : 1,228.68 = 684.36 : x
  2. Step 2: Convert to fraction form
    820.44/1,228.68 = 684.36/x
  3. Step 3: Cross multiply
    820.44x = 1,228.68 × 684.36
  4. Step 4: Simplify right side
    820.44x = 840,859.44
  5. Step 5: Solve for x
    x = 840,859.44/820.44
  6. Step 6: Final answer
    x = 1,024.89

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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.