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Finding the Fourth Proportional to 777.58, 1,166.16 and 229.62

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Solution

The fourth proportional to 777.58, 1,166.16 and 229.62 is: 344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.58 : 1,166.16 = 229.62 : x
  2. Step 2: Convert to fraction form
    777.58/1,166.16 = 229.62/x
  3. Step 3: Cross multiply
    777.58x = 1,166.16 × 229.62
  4. Step 4: Simplify right side
    777.58x = 267,773.66
  5. Step 5: Solve for x
    x = 267,773.66/777.58
  6. Step 6: Final answer
    x = 344.37

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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.