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Finding the Fourth Proportional to 1,204.10, 1,805.84 and 545.73

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Solution

The fourth proportional to 1,204.10, 1,805.84 and 545.73 is: 818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.10 : 1,805.84 = 545.73 : x
  2. Step 2: Convert to fraction form
    1,204.10/1,805.84 = 545.73/x
  3. Step 3: Cross multiply
    1,204.10x = 1,805.84 × 545.73
  4. Step 4: Simplify right side
    1,204.10x = 985,498.33
  5. Step 5: Solve for x
    x = 985,498.33/1,204.10
  6. Step 6: Final answer
    x = 818.46

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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.