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Finding the Fourth Proportional to 823.83, 1,234.45 and 406.87

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Solution

The fourth proportional to 823.83, 1,234.45 and 406.87 is: 609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.83 : 1,234.45 = 406.87 : x
  2. Step 2: Convert to fraction form
    823.83/1,234.45 = 406.87/x
  3. Step 3: Cross multiply
    823.83x = 1,234.45 × 406.87
  4. Step 4: Simplify right side
    823.83x = 502,260.67
  5. Step 5: Solve for x
    x = 502,260.67/823.83
  6. Step 6: Final answer
    x = 609.67

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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.