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Finding the Fourth Proportional to 788.09, 1,180.46 and 641.16

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Solution

The fourth proportional to 788.09, 1,180.46 and 641.16 is: 960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.09 : 1,180.46 = 641.16 : x
  2. Step 2: Convert to fraction form
    788.09/1,180.46 = 641.16/x
  3. Step 3: Cross multiply
    788.09x = 1,180.46 × 641.16
  4. Step 4: Simplify right side
    788.09x = 756,865.34
  5. Step 5: Solve for x
    x = 756,865.34/788.09
  6. Step 6: Final answer
    x = 960.39

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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.