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Finding the Fourth Proportional to 669.60, 998.73 and 634.86

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Solution

The fourth proportional to 669.60, 998.73 and 634.86 is: 946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.60 : 998.73 = 634.86 : x
  2. Step 2: Convert to fraction form
    669.60/998.73 = 634.86/x
  3. Step 3: Cross multiply
    669.60x = 998.73 × 634.86
  4. Step 4: Simplify right side
    669.60x = 634,053.73
  5. Step 5: Solve for x
    x = 634,053.73/669.60
  6. Step 6: Final answer
    x = 946.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.