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Finding the Fourth Proportional to 805.44, 1,112.42 and 543

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Solution

The fourth proportional to 805.44, 1,112.42 and 543 is: 749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.44 : 1,112.42 = 543 : x
  2. Step 2: Convert to fraction form
    805.44/1,112.42 = 543/x
  3. Step 3: Cross multiply
    805.44x = 1,112.42 × 543
  4. Step 4: Simplify right side
    805.44x = 604,044.06
  5. Step 5: Solve for x
    x = 604,044.06/805.44
  6. Step 6: Final answer
    x = 749.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.