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Finding the Fourth Proportional to 1,013.47, 1,519.19 and 396.79

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Solution

The fourth proportional to 1,013.47, 1,519.19 and 396.79 is: 594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.47 : 1,519.19 = 396.79 : x
  2. Step 2: Convert to fraction form
    1,013.47/1,519.19 = 396.79/x
  3. Step 3: Cross multiply
    1,013.47x = 1,519.19 × 396.79
  4. Step 4: Simplify right side
    1,013.47x = 602,789.82
  5. Step 5: Solve for x
    x = 602,789.82/1,013.47
  6. Step 6: Final answer
    x = 594.78

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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.