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Finding the Fourth Proportional to 755.94, 1,048.02 and 729.22

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Solution

The fourth proportional to 755.94, 1,048.02 and 729.22 is: 1,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.94 : 1,048.02 = 729.22 : x
  2. Step 2: Convert to fraction form
    755.94/1,048.02 = 729.22/x
  3. Step 3: Cross multiply
    755.94x = 1,048.02 × 729.22
  4. Step 4: Simplify right side
    755.94x = 764,237.14
  5. Step 5: Solve for x
    x = 764,237.14/755.94
  6. Step 6: Final answer
    x = 1,010.98

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.