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Finding the Fourth Proportional to 745.44, 1,029.06 and 446.79

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Solution

The fourth proportional to 745.44, 1,029.06 and 446.79 is: 616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.44 : 1,029.06 = 446.79 : x
  2. Step 2: Convert to fraction form
    745.44/1,029.06 = 446.79/x
  3. Step 3: Cross multiply
    745.44x = 1,029.06 × 446.79
  4. Step 4: Simplify right side
    745.44x = 459,773.72
  5. Step 5: Solve for x
    x = 459,773.72/745.44
  6. Step 6: Final answer
    x = 616.78

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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.