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Finding the Fourth Proportional to 1,093.48, 1,638.03 and 543.97

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Solution

The fourth proportional to 1,093.48, 1,638.03 and 543.97 is: 814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.48 : 1,638.03 = 543.97 : x
  2. Step 2: Convert to fraction form
    1,093.48/1,638.03 = 543.97/x
  3. Step 3: Cross multiply
    1,093.48x = 1,638.03 × 543.97
  4. Step 4: Simplify right side
    1,093.48x = 891,039.18
  5. Step 5: Solve for x
    x = 891,039.18/1,093.48
  6. Step 6: Final answer
    x = 814.87

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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.