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Finding the Fourth Proportional to 801.08, 1,201.67 and 608.60

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Solution

The fourth proportional to 801.08, 1,201.67 and 608.60 is: 912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.08 : 1,201.67 = 608.60 : x
  2. Step 2: Convert to fraction form
    801.08/1,201.67 = 608.60/x
  3. Step 3: Cross multiply
    801.08x = 1,201.67 × 608.60
  4. Step 4: Simplify right side
    801.08x = 731,327.31
  5. Step 5: Solve for x
    x = 731,327.31/801.08
  6. Step 6: Final answer
    x = 912.93

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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.