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Finding the Fourth Proportional to 777.92, 1,166.64 and 230.18

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Solution

The fourth proportional to 777.92, 1,166.64 and 230.18 is: 345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.92 : 1,166.64 = 230.18 : x
  2. Step 2: Convert to fraction form
    777.92/1,166.64 = 230.18/x
  3. Step 3: Cross multiply
    777.92x = 1,166.64 × 230.18
  4. Step 4: Simplify right side
    777.92x = 268,537.20
  5. Step 5: Solve for x
    x = 268,537.20/777.92
  6. Step 6: Final answer
    x = 345.20

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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.