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Finding the Fourth Proportional to 1,121.33, 1,682.90 and 813.32

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Solution

The fourth proportional to 1,121.33, 1,682.90 and 813.32 is: 1,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.33 : 1,682.90 = 813.32 : x
  2. Step 2: Convert to fraction form
    1,121.33/1,682.90 = 813.32/x
  3. Step 3: Cross multiply
    1,121.33x = 1,682.90 × 813.32
  4. Step 4: Simplify right side
    1,121.33x = 1,368,736.23
  5. Step 5: Solve for x
    x = 1,368,736.23/1,121.33
  6. Step 6: Final answer
    x = 1,220.64

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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.