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Finding the Fourth Proportional to 964.26, 1,447 and 477.34

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Solution

The fourth proportional to 964.26, 1,447 and 477.34 is: 716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.26 : 1,447 = 477.34 : x
  2. Step 2: Convert to fraction form
    964.26/1,447 = 477.34/x
  3. Step 3: Cross multiply
    964.26x = 1,447 × 477.34
  4. Step 4: Simplify right side
    964.26x = 690,710.98
  5. Step 5: Solve for x
    x = 690,710.98/964.26
  6. Step 6: Final answer
    x = 716.31

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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.