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Finding the Fourth Proportional to 775.44, 1,161.34 and 753.57

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Solution

The fourth proportional to 775.44, 1,161.34 and 753.57 is: 1,128.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.44 : 1,161.34 = 753.57 : x
  2. Step 2: Convert to fraction form
    775.44/1,161.34 = 753.57/x
  3. Step 3: Cross multiply
    775.44x = 1,161.34 × 753.57
  4. Step 4: Simplify right side
    775.44x = 875,149.10
  5. Step 5: Solve for x
    x = 875,149.10/775.44
  6. Step 6: Final answer
    x = 1,128.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.