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Finding the Fourth Proportional to 1,198.44, 1,804.68 and 1,046.19

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Solution

The fourth proportional to 1,198.44, 1,804.68 and 1,046.19 is: 1,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.44 : 1,804.68 = 1,046.19 : x
  2. Step 2: Convert to fraction form
    1,198.44/1,804.68 = 1,046.19/x
  3. Step 3: Cross multiply
    1,198.44x = 1,804.68 × 1,046.19
  4. Step 4: Simplify right side
    1,198.44x = 1,888,038.17
  5. Step 5: Solve for x
    x = 1,888,038.17/1,198.44
  6. Step 6: Final answer
    x = 1,575.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.