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Finding the Fourth Proportional to 989.40, 1,486.30 and 827.40

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Solution

The fourth proportional to 989.40, 1,486.30 and 827.40 is: 1,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.40 : 1,486.30 = 827.40 : x
  2. Step 2: Convert to fraction form
    989.40/1,486.30 = 827.40/x
  3. Step 3: Cross multiply
    989.40x = 1,486.30 × 827.40
  4. Step 4: Simplify right side
    989.40x = 1,229,764.62
  5. Step 5: Solve for x
    x = 1,229,764.62/989.40
  6. Step 6: Final answer
    x = 1,242.94

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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.