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Finding the Fourth Proportional to 863.65, 1,294.26 and 646.98

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Solution

The fourth proportional to 863.65, 1,294.26 and 646.98 is: 969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.65 : 1,294.26 = 646.98 : x
  2. Step 2: Convert to fraction form
    863.65/1,294.26 = 646.98/x
  3. Step 3: Cross multiply
    863.65x = 1,294.26 × 646.98
  4. Step 4: Simplify right side
    863.65x = 837,360.33
  5. Step 5: Solve for x
    x = 837,360.33/863.65
  6. Step 6: Final answer
    x = 969.56

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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.