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Finding the Fourth Proportional to 986.80, 1,483.80 and 828.40

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Solution

The fourth proportional to 986.80, 1,483.80 and 828.40 is: 1,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.80 : 1,483.80 = 828.40 : x
  2. Step 2: Convert to fraction form
    986.80/1,483.80 = 828.40/x
  3. Step 3: Cross multiply
    986.80x = 1,483.80 × 828.40
  4. Step 4: Simplify right side
    986.80x = 1,229,179.92
  5. Step 5: Solve for x
    x = 1,229,179.92/986.80
  6. Step 6: Final answer
    x = 1,245.62

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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.