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Finding the Fourth Proportional to 775.12, 1,077.04 and 766

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Solution

The fourth proportional to 775.12, 1,077.04 and 766 is: 1,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.12 : 1,077.04 = 766 : x
  2. Step 2: Convert to fraction form
    775.12/1,077.04 = 766/x
  3. Step 3: Cross multiply
    775.12x = 1,077.04 × 766
  4. Step 4: Simplify right side
    775.12x = 825,012.64
  5. Step 5: Solve for x
    x = 825,012.64/775.12
  6. Step 6: Final answer
    x = 1,064.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.