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Finding the Fourth Proportional to 820.94, 1,228.64 and 684.23

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Solution

The fourth proportional to 820.94, 1,228.64 and 684.23 is: 1,024.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.94 : 1,228.64 = 684.23 : x
  2. Step 2: Convert to fraction form
    820.94/1,228.64 = 684.23/x
  3. Step 3: Cross multiply
    820.94x = 1,228.64 × 684.23
  4. Step 4: Simplify right side
    820.94x = 840,662.78
  5. Step 5: Solve for x
    x = 840,662.78/820.94
  6. Step 6: Final answer
    x = 1,024.03

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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.