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Finding the Fourth Proportional to 1,609.63, 2,414.30 and 513.81

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Solution

The fourth proportional to 1,609.63, 2,414.30 and 513.81 is: 770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.63 : 2,414.30 = 513.81 : x
  2. Step 2: Convert to fraction form
    1,609.63/2,414.30 = 513.81/x
  3. Step 3: Cross multiply
    1,609.63x = 2,414.30 × 513.81
  4. Step 4: Simplify right side
    1,609.63x = 1,240,488.91
  5. Step 5: Solve for x
    x = 1,240,488.91/1,609.63
  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.