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Finding the Fourth Proportional to 759.34, 1,133.90 and 755.68

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Solution

The fourth proportional to 759.34, 1,133.90 and 755.68 is: 1,128.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.34 : 1,133.90 = 755.68 : x
  2. Step 2: Convert to fraction form
    759.34/1,133.90 = 755.68/x
  3. Step 3: Cross multiply
    759.34x = 1,133.90 × 755.68
  4. Step 4: Simplify right side
    759.34x = 856,865.55
  5. Step 5: Solve for x
    x = 856,865.55/759.34
  6. Step 6: Final answer
    x = 1,128.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.