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Finding the Fourth Proportional to 735.09, 1,012.82 and 548.49

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Solution

The fourth proportional to 735.09, 1,012.82 and 548.49 is: 755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.09 : 1,012.82 = 548.49 : x
  2. Step 2: Convert to fraction form
    735.09/1,012.82 = 548.49/x
  3. Step 3: Cross multiply
    735.09x = 1,012.82 × 548.49
  4. Step 4: Simplify right side
    735.09x = 555,521.64
  5. Step 5: Solve for x
    x = 555,521.64/735.09
  6. Step 6: Final answer
    x = 755.72

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