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Finding the Fourth Proportional to 733.86, 1,099.65 and 300.30

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Solution

The fourth proportional to 733.86, 1,099.65 and 300.30 is: 449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.86 : 1,099.65 = 300.30 : x
  2. Step 2: Convert to fraction form
    733.86/1,099.65 = 300.30/x
  3. Step 3: Cross multiply
    733.86x = 1,099.65 × 300.30
  4. Step 4: Simplify right side
    733.86x = 330,224.90
  5. Step 5: Solve for x
    x = 330,224.90/733.86
  6. Step 6: Final answer
    x = 449.98

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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.