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Finding the Fourth Proportional to 916.24, 1,379.44 and 629.56

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Solution

The fourth proportional to 916.24, 1,379.44 and 629.56 is: 947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.24 : 1,379.44 = 629.56 : x
  2. Step 2: Convert to fraction form
    916.24/1,379.44 = 629.56/x
  3. Step 3: Cross multiply
    916.24x = 1,379.44 × 629.56
  4. Step 4: Simplify right side
    916.24x = 868,440.25
  5. Step 5: Solve for x
    x = 868,440.25/916.24
  6. Step 6: Final answer
    x = 947.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.