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Finding the Fourth Proportional to 1,363.77, 2,045.25 and 389.97

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Solution

The fourth proportional to 1,363.77, 2,045.25 and 389.97 is: 584.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.77 : 2,045.25 = 389.97 : x
  2. Step 2: Convert to fraction form
    1,363.77/2,045.25 = 389.97/x
  3. Step 3: Cross multiply
    1,363.77x = 2,045.25 × 389.97
  4. Step 4: Simplify right side
    1,363.77x = 797,586.14
  5. Step 5: Solve for x
    x = 797,586.14/1,363.77
  6. Step 6: Final answer
    x = 584.84

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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.