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Finding the Fourth Proportional to 842.02, 1,262.83 and 321.83

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Solution

The fourth proportional to 842.02, 1,262.83 and 321.83 is: 482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.02 : 1,262.83 = 321.83 : x
  2. Step 2: Convert to fraction form
    842.02/1,262.83 = 321.83/x
  3. Step 3: Cross multiply
    842.02x = 1,262.83 × 321.83
  4. Step 4: Simplify right side
    842.02x = 406,416.58
  5. Step 5: Solve for x
    x = 406,416.58/842.02
  6. Step 6: Final answer
    x = 482.67

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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.