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Finding the Fourth Proportional to 815.28, 1,124.97 and 496.09

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Solution

The fourth proportional to 815.28, 1,124.97 and 496.09 is: 684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.28 : 1,124.97 = 496.09 : x
  2. Step 2: Convert to fraction form
    815.28/1,124.97 = 496.09/x
  3. Step 3: Cross multiply
    815.28x = 1,124.97 × 496.09
  4. Step 4: Simplify right side
    815.28x = 558,086.37
  5. Step 5: Solve for x
    x = 558,086.37/815.28
  6. Step 6: Final answer
    x = 684.53

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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.