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Finding the Fourth Proportional to 892, 1,233.48 and 803.28

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Solution

The fourth proportional to 892, 1,233.48 and 803.28 is: 1,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    892 : 1,233.48 = 803.28 : x
  2. Step 2: Convert to fraction form
    892/1,233.48 = 803.28/x
  3. Step 3: Cross multiply
    892x = 1,233.48 × 803.28
  4. Step 4: Simplify right side
    892x = 990,829.81
  5. Step 5: Solve for x
    x = 990,829.81/892
  6. Step 6: Final answer
    x = 1,110.80

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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.