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Finding the Fourth Proportional to 964.56, 1,447.29 and 416.90

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Solution

The fourth proportional to 964.56, 1,447.29 and 416.90 is: 625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.56 : 1,447.29 = 416.90 : x
  2. Step 2: Convert to fraction form
    964.56/1,447.29 = 416.90/x
  3. Step 3: Cross multiply
    964.56x = 1,447.29 × 416.90
  4. Step 4: Simplify right side
    964.56x = 603,371.85
  5. Step 5: Solve for x
    x = 603,371.85/964.56
  6. Step 6: Final answer
    x = 625.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.