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Finding the Fourth Proportional to 800.20, 1,200.30 and 751.60

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Solution

The fourth proportional to 800.20, 1,200.30 and 751.60 is: 1,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.20 : 1,200.30 = 751.60 : x
  2. Step 2: Convert to fraction form
    800.20/1,200.30 = 751.60/x
  3. Step 3: Cross multiply
    800.20x = 1,200.30 × 751.60
  4. Step 4: Simplify right side
    800.20x = 902,145.48
  5. Step 5: Solve for x
    x = 902,145.48/800.20
  6. Step 6: Final answer
    x = 1,127.40

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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.