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Finding the Fourth Proportional to 1,328.67, 1,991.66 and 634.32

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Solution

The fourth proportional to 1,328.67, 1,991.66 and 634.32 is: 950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.67 : 1,991.66 = 634.32 : x
  2. Step 2: Convert to fraction form
    1,328.67/1,991.66 = 634.32/x
  3. Step 3: Cross multiply
    1,328.67x = 1,991.66 × 634.32
  4. Step 4: Simplify right side
    1,328.67x = 1,263,346.60
  5. Step 5: Solve for x
    x = 1,263,346.60/1,328.67
  6. Step 6: Final answer
    x = 950.84

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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.