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Finding the Fourth Proportional to 862.11, 1,189.77 and 489.09

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Solution

The fourth proportional to 862.11, 1,189.77 and 489.09 is: 674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.11 : 1,189.77 = 489.09 : x
  2. Step 2: Convert to fraction form
    862.11/1,189.77 = 489.09/x
  3. Step 3: Cross multiply
    862.11x = 1,189.77 × 489.09
  4. Step 4: Simplify right side
    862.11x = 581,904.61
  5. Step 5: Solve for x
    x = 581,904.61/862.11
  6. Step 6: Final answer
    x = 674.98

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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.