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Finding the Fourth Proportional to 1,073.52, 1,481.36 and 601.38

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Solution

The fourth proportional to 1,073.52, 1,481.36 and 601.38 is: 829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.52 : 1,481.36 = 601.38 : x
  2. Step 2: Convert to fraction form
    1,073.52/1,481.36 = 601.38/x
  3. Step 3: Cross multiply
    1,073.52x = 1,481.36 × 601.38
  4. Step 4: Simplify right side
    1,073.52x = 890,857.27
  5. Step 5: Solve for x
    x = 890,857.27/1,073.52
  6. Step 6: Final answer
    x = 829.85

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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.