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Finding the Fourth Proportional to 757.15, 1,133.80 and 443.48

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Solution

The fourth proportional to 757.15, 1,133.80 and 443.48 is: 664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.15 : 1,133.80 = 443.48 : x
  2. Step 2: Convert to fraction form
    757.15/1,133.80 = 443.48/x
  3. Step 3: Cross multiply
    757.15x = 1,133.80 × 443.48
  4. Step 4: Simplify right side
    757.15x = 502,810.85
  5. Step 5: Solve for x
    x = 502,810.85/757.15
  6. Step 6: Final answer
    x = 664.09

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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.