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Finding the Fourth Proportional to 764.44, 1,052.96 and 543

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Solution

The fourth proportional to 764.44, 1,052.96 and 543 is: 747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.44 : 1,052.96 = 543 : x
  2. Step 2: Convert to fraction form
    764.44/1,052.96 = 543/x
  3. Step 3: Cross multiply
    764.44x = 1,052.96 × 543
  4. Step 4: Simplify right side
    764.44x = 571,757.28
  5. Step 5: Solve for x
    x = 571,757.28/764.44
  6. Step 6: Final answer
    x = 747.94

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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.