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Finding the Fourth Proportional to 775.93, 1,164.11 and 343.19

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Solution

The fourth proportional to 775.93, 1,164.11 and 343.19 is: 514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.93 : 1,164.11 = 343.19 : x
  2. Step 2: Convert to fraction form
    775.93/1,164.11 = 343.19/x
  3. Step 3: Cross multiply
    775.93x = 1,164.11 × 343.19
  4. Step 4: Simplify right side
    775.93x = 399,510.91
  5. Step 5: Solve for x
    x = 399,510.91/775.93
  6. Step 6: Final answer
    x = 514.88

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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.