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Finding the Fourth Proportional to 1,192.27, 1,645.50 and 720.19

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Solution

The fourth proportional to 1,192.27, 1,645.50 and 720.19 is: 993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.27 : 1,645.50 = 720.19 : x
  2. Step 2: Convert to fraction form
    1,192.27/1,645.50 = 720.19/x
  3. Step 3: Cross multiply
    1,192.27x = 1,645.50 × 720.19
  4. Step 4: Simplify right side
    1,192.27x = 1,185,072.65
  5. Step 5: Solve for x
    x = 1,185,072.65/1,192.27
  6. Step 6: Final answer
    x = 993.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.