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Finding the Fourth Proportional to 901.44, 1,343.13 and 804.42

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Solution

The fourth proportional to 901.44, 1,343.13 and 804.42 is: 1,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.44 : 1,343.13 = 804.42 : x
  2. Step 2: Convert to fraction form
    901.44/1,343.13 = 804.42/x
  3. Step 3: Cross multiply
    901.44x = 1,343.13 × 804.42
  4. Step 4: Simplify right side
    901.44x = 1,080,440.63
  5. Step 5: Solve for x
    x = 1,080,440.63/901.44
  6. Step 6: Final answer
    x = 1,198.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.