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Finding the Fourth Proportional to 1,076.02, 1,485.33 and 745.78

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Solution

The fourth proportional to 1,076.02, 1,485.33 and 745.78 is: 1,029.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.02 : 1,485.33 = 745.78 : x
  2. Step 2: Convert to fraction form
    1,076.02/1,485.33 = 745.78/x
  3. Step 3: Cross multiply
    1,076.02x = 1,485.33 × 745.78
  4. Step 4: Simplify right side
    1,076.02x = 1,107,729.41
  5. Step 5: Solve for x
    x = 1,107,729.41/1,076.02
  6. Step 6: Final answer
    x = 1,029.47

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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.