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Finding the Fourth Proportional to 884.07, 1,225.84 and 854.80

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Solution

The fourth proportional to 884.07, 1,225.84 and 854.80 is: 1,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.07 : 1,225.84 = 854.80 : x
  2. Step 2: Convert to fraction form
    884.07/1,225.84 = 854.80/x
  3. Step 3: Cross multiply
    884.07x = 1,225.84 × 854.80
  4. Step 4: Simplify right side
    884.07x = 1,047,842.83
  5. Step 5: Solve for x
    x = 1,047,842.83/884.07
  6. Step 6: Final answer
    x = 1,185.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.