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Finding the Fourth Proportional to 1,204.15, 1,805.22 and 511.36

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Solution

The fourth proportional to 1,204.15, 1,805.22 and 511.36 is: 766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.15 : 1,805.22 = 511.36 : x
  2. Step 2: Convert to fraction form
    1,204.15/1,805.22 = 511.36/x
  3. Step 3: Cross multiply
    1,204.15x = 1,805.22 × 511.36
  4. Step 4: Simplify right side
    1,204.15x = 923,117.30
  5. Step 5: Solve for x
    x = 923,117.30/1,204.15
  6. Step 6: Final answer
    x = 766.61

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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.