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Finding the Fourth Proportional to 732.99, 1,099.80 and 343.05

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Solution

The fourth proportional to 732.99, 1,099.80 and 343.05 is: 514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.99 : 1,099.80 = 343.05 : x
  2. Step 2: Convert to fraction form
    732.99/1,099.80 = 343.05/x
  3. Step 3: Cross multiply
    732.99x = 1,099.80 × 343.05
  4. Step 4: Simplify right side
    732.99x = 377,286.39
  5. Step 5: Solve for x
    x = 377,286.39/732.99
  6. Step 6: Final answer
    x = 514.72

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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.