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Finding the Fourth Proportional to 1,609.27, 2,414.24 and 513.71

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Solution

The fourth proportional to 1,609.27, 2,414.24 and 513.71 is: 770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.27 : 2,414.24 = 513.71 : x
  2. Step 2: Convert to fraction form
    1,609.27/2,414.24 = 513.71/x
  3. Step 3: Cross multiply
    1,609.27x = 2,414.24 × 513.71
  4. Step 4: Simplify right side
    1,609.27x = 1,240,219.23
  5. Step 5: Solve for x
    x = 1,240,219.23/1,609.27
  6. Step 6: Final answer
    x = 770.67

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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.