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Finding the Fourth Proportional to 733.68, 1,099.78 and 459.96

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Solution

The fourth proportional to 733.68, 1,099.78 and 459.96 is: 689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.68 : 1,099.78 = 459.96 : x
  2. Step 2: Convert to fraction form
    733.68/1,099.78 = 459.96/x
  3. Step 3: Cross multiply
    733.68x = 1,099.78 × 459.96
  4. Step 4: Simplify right side
    733.68x = 505,855.72
  5. Step 5: Solve for x
    x = 505,855.72/733.68
  6. Step 6: Final answer
    x = 689.48

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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.