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Finding the Fourth Proportional to 930.98, 1,285.26 and 636.68

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Solution

The fourth proportional to 930.98, 1,285.26 and 636.68 is: 878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.98 : 1,285.26 = 636.68 : x
  2. Step 2: Convert to fraction form
    930.98/1,285.26 = 636.68/x
  3. Step 3: Cross multiply
    930.98x = 1,285.26 × 636.68
  4. Step 4: Simplify right side
    930.98x = 818,299.34
  5. Step 5: Solve for x
    x = 818,299.34/930.98
  6. Step 6: Final answer
    x = 878.97

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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.