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Finding the Fourth Proportional to 1,013.47, 1,519.20 and 519.87

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Solution

The fourth proportional to 1,013.47, 1,519.20 and 519.87 is: 779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.47 : 1,519.20 = 519.87 : x
  2. Step 2: Convert to fraction form
    1,013.47/1,519.20 = 519.87/x
  3. Step 3: Cross multiply
    1,013.47x = 1,519.20 × 519.87
  4. Step 4: Simplify right side
    1,013.47x = 789,786.50
  5. Step 5: Solve for x
    x = 789,786.50/1,013.47
  6. Step 6: Final answer
    x = 779.29

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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.