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Finding the Fourth Proportional to 1,013.63, 1,519.52 and 396.95

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Solution

The fourth proportional to 1,013.63, 1,519.52 and 396.95 is: 595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.63 : 1,519.52 = 396.95 : x
  2. Step 2: Convert to fraction form
    1,013.63/1,519.52 = 396.95/x
  3. Step 3: Cross multiply
    1,013.63x = 1,519.52 × 396.95
  4. Step 4: Simplify right side
    1,013.63x = 603,163.88
  5. Step 5: Solve for x
    x = 603,163.88/1,013.63
  6. Step 6: Final answer
    x = 595.06

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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.