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Finding the Fourth Proportional to 837.68, 1,252.07 and 755.24

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Solution

The fourth proportional to 837.68, 1,252.07 and 755.24 is: 1,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.68 : 1,252.07 = 755.24 : x
  2. Step 2: Convert to fraction form
    837.68/1,252.07 = 755.24/x
  3. Step 3: Cross multiply
    837.68x = 1,252.07 × 755.24
  4. Step 4: Simplify right side
    837.68x = 945,613.35
  5. Step 5: Solve for x
    x = 945,613.35/837.68
  6. Step 6: Final answer
    x = 1,128.85

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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.