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Finding the Fourth Proportional to 767.20, 1,150.80 and 751.20

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Solution

The fourth proportional to 767.20, 1,150.80 and 751.20 is: 1,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.20 : 1,150.80 = 751.20 : x
  2. Step 2: Convert to fraction form
    767.20/1,150.80 = 751.20/x
  3. Step 3: Cross multiply
    767.20x = 1,150.80 × 751.20
  4. Step 4: Simplify right side
    767.20x = 864,480.96
  5. Step 5: Solve for x
    x = 864,480.96/767.20
  6. Step 6: Final answer
    x = 1,126.80

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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.