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Finding the Fourth Proportional to 941.92, 1,299.41 and 610.46

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Solution

The fourth proportional to 941.92, 1,299.41 and 610.46 is: 842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.92 : 1,299.41 = 610.46 : x
  2. Step 2: Convert to fraction form
    941.92/1,299.41 = 610.46/x
  3. Step 3: Cross multiply
    941.92x = 1,299.41 × 610.46
  4. Step 4: Simplify right side
    941.92x = 793,237.83
  5. Step 5: Solve for x
    x = 793,237.83/941.92
  6. Step 6: Final answer
    x = 842.15

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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.