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Finding the Fourth Proportional to 775.12, 1,069.32 and 464.56

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Solution

The fourth proportional to 775.12, 1,069.32 and 464.56 is: 640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.12 : 1,069.32 = 464.56 : x
  2. Step 2: Convert to fraction form
    775.12/1,069.32 = 464.56/x
  3. Step 3: Cross multiply
    775.12x = 1,069.32 × 464.56
  4. Step 4: Simplify right side
    775.12x = 496,763.30
  5. Step 5: Solve for x
    x = 496,763.30/775.12
  6. Step 6: Final answer
    x = 640.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.