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Finding the Fourth Proportional to 775.92, 1,064.36 and 759.72

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Solution

The fourth proportional to 775.92, 1,064.36 and 759.72 is: 1,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.92 : 1,064.36 = 759.72 : x
  2. Step 2: Convert to fraction form
    775.92/1,064.36 = 759.72/x
  3. Step 3: Cross multiply
    775.92x = 1,064.36 × 759.72
  4. Step 4: Simplify right side
    775.92x = 808,611.78
  5. Step 5: Solve for x
    x = 808,611.78/775.92
  6. Step 6: Final answer
    x = 1,042.13

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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.