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Finding the Fourth Proportional to 815.68, 1,220.78 and 804.74

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Solution

The fourth proportional to 815.68, 1,220.78 and 804.74 is: 1,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.68 : 1,220.78 = 804.74 : x
  2. Step 2: Convert to fraction form
    815.68/1,220.78 = 804.74/x
  3. Step 3: Cross multiply
    815.68x = 1,220.78 × 804.74
  4. Step 4: Simplify right side
    815.68x = 982,406.47
  5. Step 5: Solve for x
    x = 982,406.47/815.68
  6. Step 6: Final answer
    x = 1,204.41

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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.