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Finding the Fourth Proportional to 1,201.43, 1,801.97 and 421.35

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Solution

The fourth proportional to 1,201.43, 1,801.97 and 421.35 is: 631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.43 : 1,801.97 = 421.35 : x
  2. Step 2: Convert to fraction form
    1,201.43/1,801.97 = 421.35/x
  3. Step 3: Cross multiply
    1,201.43x = 1,801.97 × 421.35
  4. Step 4: Simplify right side
    1,201.43x = 759,257.95
  5. Step 5: Solve for x
    x = 759,257.95/1,201.43
  6. Step 6: Final answer
    x = 631.96

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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.