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Finding the Fourth Proportional to 777.93, 1,166.80 and 230.10

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Solution

The fourth proportional to 777.93, 1,166.80 and 230.10 is: 345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.93 : 1,166.80 = 230.10 : x
  2. Step 2: Convert to fraction form
    777.93/1,166.80 = 230.10/x
  3. Step 3: Cross multiply
    777.93x = 1,166.80 × 230.10
  4. Step 4: Simplify right side
    777.93x = 268,480.68
  5. Step 5: Solve for x
    x = 268,480.68/777.93
  6. Step 6: Final answer
    x = 345.12

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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.