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Finding the Fourth Proportional to 1,199.04, 1,791.56 and 885.36

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Solution

The fourth proportional to 1,199.04, 1,791.56 and 885.36 is: 1,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.04 : 1,791.56 = 885.36 : x
  2. Step 2: Convert to fraction form
    1,199.04/1,791.56 = 885.36/x
  3. Step 3: Cross multiply
    1,199.04x = 1,791.56 × 885.36
  4. Step 4: Simplify right side
    1,199.04x = 1,586,175.56
  5. Step 5: Solve for x
    x = 1,586,175.56/1,199.04
  6. Step 6: Final answer
    x = 1,322.87

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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.