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Finding the Fourth Proportional to 1,363.83, 2,045.49 and 389.69

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Solution

The fourth proportional to 1,363.83, 2,045.49 and 389.69 is: 584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.83 : 2,045.49 = 389.69 : x
  2. Step 2: Convert to fraction form
    1,363.83/2,045.49 = 389.69/x
  3. Step 3: Cross multiply
    1,363.83x = 2,045.49 × 389.69
  4. Step 4: Simplify right side
    1,363.83x = 797,107.00
  5. Step 5: Solve for x
    x = 797,107.00/1,363.83
  6. Step 6: Final answer
    x = 584.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.