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Finding the Fourth Proportional to 1,363.57, 2,044.98 and 541.82

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Solution

The fourth proportional to 1,363.57, 2,044.98 and 541.82 is: 812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.57 : 2,044.98 = 541.82 : x
  2. Step 2: Convert to fraction form
    1,363.57/2,044.98 = 541.82/x
  3. Step 3: Cross multiply
    1,363.57x = 2,044.98 × 541.82
  4. Step 4: Simplify right side
    1,363.57x = 1,108,016.18
  5. Step 5: Solve for x
    x = 1,108,016.18/1,363.57
  6. Step 6: Final answer
    x = 812.59

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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.