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Finding the Fourth Proportional to 775.80, 1,164.12 and 342.96

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Solution

The fourth proportional to 775.80, 1,164.12 and 342.96 is: 514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.80 : 1,164.12 = 342.96 : x
  2. Step 2: Convert to fraction form
    775.80/1,164.12 = 342.96/x
  3. Step 3: Cross multiply
    775.80x = 1,164.12 × 342.96
  4. Step 4: Simplify right side
    775.80x = 399,246.60
  5. Step 5: Solve for x
    x = 399,246.60/775.80
  6. Step 6: Final answer
    x = 514.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.