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Finding the Fourth Proportional to 1,201.75, 1,802.80 and 421.84

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Solution

The fourth proportional to 1,201.75, 1,802.80 and 421.84 is: 632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.75 : 1,802.80 = 421.84 : x
  2. Step 2: Convert to fraction form
    1,201.75/1,802.80 = 421.84/x
  3. Step 3: Cross multiply
    1,201.75x = 1,802.80 × 421.84
  4. Step 4: Simplify right side
    1,201.75x = 760,495.93
  5. Step 5: Solve for x
    x = 760,495.93/1,201.75
  6. Step 6: Final answer
    x = 632.83

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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.