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Finding the Fourth Proportional to 1,201.75, 1,802.82 and 421.96

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Solution

The fourth proportional to 1,201.75, 1,802.82 and 421.96 is: 633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.75 : 1,802.82 = 421.96 : x
  2. Step 2: Convert to fraction form
    1,201.75/1,802.82 = 421.96/x
  3. Step 3: Cross multiply
    1,201.75x = 1,802.82 × 421.96
  4. Step 4: Simplify right side
    1,201.75x = 760,717.93
  5. Step 5: Solve for x
    x = 760,717.93/1,201.75
  6. Step 6: Final answer
    x = 633.01

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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.