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Finding the Fourth Proportional to 800.80, 1,200.24 and 656.80

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Solution

The fourth proportional to 800.80, 1,200.24 and 656.80 is: 984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.80 : 1,200.24 = 656.80 : x
  2. Step 2: Convert to fraction form
    800.80/1,200.24 = 656.80/x
  3. Step 3: Cross multiply
    800.80x = 1,200.24 × 656.80
  4. Step 4: Simplify right side
    800.80x = 788,317.63
  5. Step 5: Solve for x
    x = 788,317.63/800.80
  6. Step 6: Final answer
    x = 984.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.