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Finding the Fourth Proportional to 994.23, 1,488.38 and 820.08

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Solution

The fourth proportional to 994.23, 1,488.38 and 820.08 is: 1,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.23 : 1,488.38 = 820.08 : x
  2. Step 2: Convert to fraction form
    994.23/1,488.38 = 820.08/x
  3. Step 3: Cross multiply
    994.23x = 1,488.38 × 820.08
  4. Step 4: Simplify right side
    994.23x = 1,220,586.57
  5. Step 5: Solve for x
    x = 1,220,586.57/994.23
  6. Step 6: Final answer
    x = 1,227.67

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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.