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Finding the Fourth Proportional to 1,467.63, 2,201.69 and 493.50

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Solution

The fourth proportional to 1,467.63, 2,201.69 and 493.50 is: 740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.63 : 2,201.69 = 493.50 : x
  2. Step 2: Convert to fraction form
    1,467.63/2,201.69 = 493.50/x
  3. Step 3: Cross multiply
    1,467.63x = 2,201.69 × 493.50
  4. Step 4: Simplify right side
    1,467.63x = 1,086,535.25
  5. Step 5: Solve for x
    x = 1,086,535.25/1,467.63
  6. Step 6: Final answer
    x = 740.33

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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.