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Finding the Fourth Proportional to 779.21, 1,166.68 and 504.62

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Solution

The fourth proportional to 779.21, 1,166.68 and 504.62 is: 755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.21 : 1,166.68 = 504.62 : x
  2. Step 2: Convert to fraction form
    779.21/1,166.68 = 504.62/x
  3. Step 3: Cross multiply
    779.21x = 1,166.68 × 504.62
  4. Step 4: Simplify right side
    779.21x = 588,730.06
  5. Step 5: Solve for x
    x = 588,730.06/779.21
  6. Step 6: Final answer
    x = 755.55

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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.