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Finding the Fourth Proportional to 777.06, 1,166.40 and 633.42

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Solution

The fourth proportional to 777.06, 1,166.40 and 633.42 is: 950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.06 : 1,166.40 = 633.42 : x
  2. Step 2: Convert to fraction form
    777.06/1,166.40 = 633.42/x
  3. Step 3: Cross multiply
    777.06x = 1,166.40 × 633.42
  4. Step 4: Simplify right side
    777.06x = 738,821.09
  5. Step 5: Solve for x
    x = 738,821.09/777.06
  6. Step 6: Final answer
    x = 950.79

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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.