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Finding the Fourth Proportional to 1,013.73, 1,520.02 and 396.72

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Solution

The fourth proportional to 1,013.73, 1,520.02 and 396.72 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.73 : 1,520.02 = 396.72 : x
  2. Step 2: Convert to fraction form
    1,013.73/1,520.02 = 396.72/x
  3. Step 3: Cross multiply
    1,013.73x = 1,520.02 × 396.72
  4. Step 4: Simplify right side
    1,013.73x = 603,022.33
  5. Step 5: Solve for x
    x = 603,022.33/1,013.73
  6. Step 6: Final answer
    x = 594.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.