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Finding the Fourth Proportional to 1,204.40, 1,805.23 and 546.78

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Solution

The fourth proportional to 1,204.40, 1,805.23 and 546.78 is: 819.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.40 : 1,805.23 = 546.78 : x
  2. Step 2: Convert to fraction form
    1,204.40/1,805.23 = 546.78/x
  3. Step 3: Cross multiply
    1,204.40x = 1,805.23 × 546.78
  4. Step 4: Simplify right side
    1,204.40x = 987,062.29
  5. Step 5: Solve for x
    x = 987,062.29/1,204.40
  6. Step 6: Final answer
    x = 819.55

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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.