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Finding the Fourth Proportional to 1,363.37, 2,045.04 and 389.47

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Solution

The fourth proportional to 1,363.37, 2,045.04 and 389.47 is: 584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.37 : 2,045.04 = 389.47 : x
  2. Step 2: Convert to fraction form
    1,363.37/2,045.04 = 389.47/x
  3. Step 3: Cross multiply
    1,363.37x = 2,045.04 × 389.47
  4. Step 4: Simplify right side
    1,363.37x = 796,481.73
  5. Step 5: Solve for x
    x = 796,481.73/1,363.37
  6. Step 6: Final answer
    x = 584.20

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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.