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Finding the Fourth Proportional to 1,037.49, 1,433.78 and 850.68

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Solution

The fourth proportional to 1,037.49, 1,433.78 and 850.68 is: 1,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.49 : 1,433.78 = 850.68 : x
  2. Step 2: Convert to fraction form
    1,037.49/1,433.78 = 850.68/x
  3. Step 3: Cross multiply
    1,037.49x = 1,433.78 × 850.68
  4. Step 4: Simplify right side
    1,037.49x = 1,219,687.97
  5. Step 5: Solve for x
    x = 1,219,687.97/1,037.49
  6. Step 6: Final answer
    x = 1,175.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.