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Finding the Fourth Proportional to 1,363.19, 2,044.50 and 389.03

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Solution

The fourth proportional to 1,363.19, 2,044.50 and 389.03 is: 583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.19 : 2,044.50 = 389.03 : x
  2. Step 2: Convert to fraction form
    1,363.19/2,044.50 = 389.03/x
  3. Step 3: Cross multiply
    1,363.19x = 2,044.50 × 389.03
  4. Step 4: Simplify right side
    1,363.19x = 795,371.84
  5. Step 5: Solve for x
    x = 795,371.84/1,363.19
  6. Step 6: Final answer
    x = 583.46

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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.