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Finding the Fourth Proportional to 1,301.63, 1,796.87 and 804.56

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Solution

The fourth proportional to 1,301.63, 1,796.87 and 804.56 is: 1,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.63 : 1,796.87 = 804.56 : x
  2. Step 2: Convert to fraction form
    1,301.63/1,796.87 = 804.56/x
  3. Step 3: Cross multiply
    1,301.63x = 1,796.87 × 804.56
  4. Step 4: Simplify right side
    1,301.63x = 1,445,696.23
  5. Step 5: Solve for x
    x = 1,445,696.23/1,301.63
  6. Step 6: Final answer
    x = 1,110.68

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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.