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Finding the Fourth Proportional to 1,467.69, 2,025.46 and 804.58

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Solution

The fourth proportional to 1,467.69, 2,025.46 and 804.58 is: 1,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.69 : 2,025.46 = 804.58 : x
  2. Step 2: Convert to fraction form
    1,467.69/2,025.46 = 804.58/x
  3. Step 3: Cross multiply
    1,467.69x = 2,025.46 × 804.58
  4. Step 4: Simplify right side
    1,467.69x = 1,629,636.02
  5. Step 5: Solve for x
    x = 1,629,636.02/1,467.69
  6. Step 6: Final answer
    x = 1,110.34

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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.