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Finding the Fourth Proportional to 775.92, 1,164.69 and 343.38

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Solution

The fourth proportional to 775.92, 1,164.69 and 343.38 is: 515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.92 : 1,164.69 = 343.38 : x
  2. Step 2: Convert to fraction form
    775.92/1,164.69 = 343.38/x
  3. Step 3: Cross multiply
    775.92x = 1,164.69 × 343.38
  4. Step 4: Simplify right side
    775.92x = 399,931.25
  5. Step 5: Solve for x
    x = 399,931.25/775.92
  6. Step 6: Final answer
    x = 515.43

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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.