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Finding the Fourth Proportional to 1,467.63, 2,201.33 and 542.75

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Solution

The fourth proportional to 1,467.63, 2,201.33 and 542.75 is: 814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.63 : 2,201.33 = 542.75 : x
  2. Step 2: Convert to fraction form
    1,467.63/2,201.33 = 542.75/x
  3. Step 3: Cross multiply
    1,467.63x = 2,201.33 × 542.75
  4. Step 4: Simplify right side
    1,467.63x = 1,194,778.72
  5. Step 5: Solve for x
    x = 1,194,778.72/1,467.63
  6. Step 6: Final answer
    x = 814.09

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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.