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Finding the Fourth Proportional to 823.80, 1,139.76 and 720.60

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Solution

The fourth proportional to 823.80, 1,139.76 and 720.60 is: 996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.80 : 1,139.76 = 720.60 : x
  2. Step 2: Convert to fraction form
    823.80/1,139.76 = 720.60/x
  3. Step 3: Cross multiply
    823.80x = 1,139.76 × 720.60
  4. Step 4: Simplify right side
    823.80x = 821,311.06
  5. Step 5: Solve for x
    x = 821,311.06/823.80
  6. Step 6: Final answer
    x = 996.98

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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.