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Finding the Fourth Proportional to 810.54, 1,213.92 and 804.47

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Solution

The fourth proportional to 810.54, 1,213.92 and 804.47 is: 1,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.54 : 1,213.92 = 804.47 : x
  2. Step 2: Convert to fraction form
    810.54/1,213.92 = 804.47/x
  3. Step 3: Cross multiply
    810.54x = 1,213.92 × 804.47
  4. Step 4: Simplify right side
    810.54x = 976,556.15
  5. Step 5: Solve for x
    x = 976,556.15/810.54
  6. Step 6: Final answer
    x = 1,204.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.