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Finding the Fourth Proportional to 1,037.34, 1,431.29 and 757.73

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Solution

The fourth proportional to 1,037.34, 1,431.29 and 757.73 is: 1,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.34 : 1,431.29 = 757.73 : x
  2. Step 2: Convert to fraction form
    1,037.34/1,431.29 = 757.73/x
  3. Step 3: Cross multiply
    1,037.34x = 1,431.29 × 757.73
  4. Step 4: Simplify right side
    1,037.34x = 1,084,520.43
  5. Step 5: Solve for x
    x = 1,084,520.43/1,037.34
  6. Step 6: Final answer
    x = 1,045.48

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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.