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Finding the Fourth Proportional to 1,073.45, 1,481.29 and 601.27

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Solution

The fourth proportional to 1,073.45, 1,481.29 and 601.27 is: 829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.45 : 1,481.29 = 601.27 : x
  2. Step 2: Convert to fraction form
    1,073.45/1,481.29 = 601.27/x
  3. Step 3: Cross multiply
    1,073.45x = 1,481.29 × 601.27
  4. Step 4: Simplify right side
    1,073.45x = 890,655.24
  5. Step 5: Solve for x
    x = 890,655.24/1,073.45
  6. Step 6: Final answer
    x = 829.71

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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.