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Finding the Fourth Proportional to 1,076.80, 1,617.60 and 752.80

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Solution

The fourth proportional to 1,076.80, 1,617.60 and 752.80 is: 1,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.80 : 1,617.60 = 752.80 : x
  2. Step 2: Convert to fraction form
    1,076.80/1,617.60 = 752.80/x
  3. Step 3: Cross multiply
    1,076.80x = 1,617.60 × 752.80
  4. Step 4: Simplify right side
    1,076.80x = 1,217,729.28
  5. Step 5: Solve for x
    x = 1,217,729.28/1,076.80
  6. Step 6: Final answer
    x = 1,130.88

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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.