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Finding the Fourth Proportional to 1,147.20, 1,720.83 and 281.52

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Solution

The fourth proportional to 1,147.20, 1,720.83 and 281.52 is: 422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.20 : 1,720.83 = 281.52 : x
  2. Step 2: Convert to fraction form
    1,147.20/1,720.83 = 281.52/x
  3. Step 3: Cross multiply
    1,147.20x = 1,720.83 × 281.52
  4. Step 4: Simplify right side
    1,147.20x = 484,448.06
  5. Step 5: Solve for x
    x = 484,448.06/1,147.20
  6. Step 6: Final answer
    x = 422.29

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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.