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Finding the Fourth Proportional to 1,204.72, 1,806.77 and 511.18

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Solution

The fourth proportional to 1,204.72, 1,806.77 and 511.18 is: 766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.72 : 1,806.77 = 511.18 : x
  2. Step 2: Convert to fraction form
    1,204.72/1,806.77 = 511.18/x
  3. Step 3: Cross multiply
    1,204.72x = 1,806.77 × 511.18
  4. Step 4: Simplify right side
    1,204.72x = 923,581.45
  5. Step 5: Solve for x
    x = 923,581.45/1,204.72
  6. Step 6: Final answer
    x = 766.64

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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.