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Finding the Fourth Proportional to 815.66, 1,121.61 and 743.97

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Solution

The fourth proportional to 815.66, 1,121.61 and 743.97 is: 1,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.66 : 1,121.61 = 743.97 : x
  2. Step 2: Convert to fraction form
    815.66/1,121.61 = 743.97/x
  3. Step 3: Cross multiply
    815.66x = 1,121.61 × 743.97
  4. Step 4: Simplify right side
    815.66x = 834,444.19
  5. Step 5: Solve for x
    x = 834,444.19/815.66
  6. Step 6: Final answer
    x = 1,023.03

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Why These Related Problems?

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