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Finding the Fourth Proportional to 1,204.80, 1,806.50 and 511.34

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Solution

The fourth proportional to 1,204.80, 1,806.50 and 511.34 is: 766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.80 : 1,806.50 = 511.34 : x
  2. Step 2: Convert to fraction form
    1,204.80/1,806.50 = 511.34/x
  3. Step 3: Cross multiply
    1,204.80x = 1,806.50 × 511.34
  4. Step 4: Simplify right side
    1,204.80x = 923,735.71
  5. Step 5: Solve for x
    x = 923,735.71/1,204.80
  6. Step 6: Final answer
    x = 766.71

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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.