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Finding the Fourth Proportional to 1,205.26, 1,804.44 and 898.54

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Solution

The fourth proportional to 1,205.26, 1,804.44 and 898.54 is: 1,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.26 : 1,804.44 = 898.54 : x
  2. Step 2: Convert to fraction form
    1,205.26/1,804.44 = 898.54/x
  3. Step 3: Cross multiply
    1,205.26x = 1,804.44 × 898.54
  4. Step 4: Simplify right side
    1,205.26x = 1,621,361.52
  5. Step 5: Solve for x
    x = 1,621,361.52/1,205.26
  6. Step 6: Final answer
    x = 1,345.24

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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.