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Finding the Fourth Proportional to 1,467.57, 2,025.32 and 804.45

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Solution

The fourth proportional to 1,467.57, 2,025.32 and 804.45 is: 1,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.57 : 2,025.32 = 804.45 : x
  2. Step 2: Convert to fraction form
    1,467.57/2,025.32 = 804.45/x
  3. Step 3: Cross multiply
    1,467.57x = 2,025.32 × 804.45
  4. Step 4: Simplify right side
    1,467.57x = 1,629,270.69
  5. Step 5: Solve for x
    x = 1,629,270.69/1,467.57
  6. Step 6: Final answer
    x = 1,110.18

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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.