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Finding the Fourth Proportional to 775.05, 1,063.97 and 767.76

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Solution

The fourth proportional to 775.05, 1,063.97 and 767.76 is: 1,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.05 : 1,063.97 = 767.76 : x
  2. Step 2: Convert to fraction form
    775.05/1,063.97 = 767.76/x
  3. Step 3: Cross multiply
    775.05x = 1,063.97 × 767.76
  4. Step 4: Simplify right side
    775.05x = 816,869.77
  5. Step 5: Solve for x
    x = 816,869.77/775.05
  6. Step 6: Final answer
    x = 1,053.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.