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Finding the Fourth Proportional to 775.04, 1,069.23 and 464.54

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Solution

The fourth proportional to 775.04, 1,069.23 and 464.54 is: 640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.04 : 1,069.23 = 464.54 : x
  2. Step 2: Convert to fraction form
    775.04/1,069.23 = 464.54/x
  3. Step 3: Cross multiply
    775.04x = 1,069.23 × 464.54
  4. Step 4: Simplify right side
    775.04x = 496,700.10
  5. Step 5: Solve for x
    x = 496,700.10/775.04
  6. Step 6: Final answer
    x = 640.87

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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.