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Finding the Fourth Proportional to 609, 912.06 and 537.96

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Solution

The fourth proportional to 609, 912.06 and 537.96 is: 805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    609 : 912.06 = 537.96 : x
  2. Step 2: Convert to fraction form
    609/912.06 = 537.96/x
  3. Step 3: Cross multiply
    609x = 912.06 × 537.96
  4. Step 4: Simplify right side
    609x = 490,651.80
  5. Step 5: Solve for x
    x = 490,651.80/609
  6. Step 6: Final answer
    x = 805.67

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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.