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Finding the Fourth Proportional to 1,006.71, 1,506.83 and 519.09

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Solution

The fourth proportional to 1,006.71, 1,506.83 and 519.09 is: 776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.71 : 1,506.83 = 519.09 : x
  2. Step 2: Convert to fraction form
    1,006.71/1,506.83 = 519.09/x
  3. Step 3: Cross multiply
    1,006.71x = 1,506.83 × 519.09
  4. Step 4: Simplify right side
    1,006.71x = 782,180.38
  5. Step 5: Solve for x
    x = 782,180.38/1,006.71
  6. Step 6: Final answer
    x = 776.97

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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.