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Finding the Fourth Proportional to 820.85, 1,133.08 and 489.20

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Solution

The fourth proportional to 820.85, 1,133.08 and 489.20 is: 675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.85 : 1,133.08 = 489.20 : x
  2. Step 2: Convert to fraction form
    820.85/1,133.08 = 489.20/x
  3. Step 3: Cross multiply
    820.85x = 1,133.08 × 489.20
  4. Step 4: Simplify right side
    820.85x = 554,295.85
  5. Step 5: Solve for x
    x = 554,295.85/820.85
  6. Step 6: Final answer
    x = 675.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.