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Finding the Fourth Proportional to 1,006.12, 1,509.54 and 519.49

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Solution

The fourth proportional to 1,006.12, 1,509.54 and 519.49 is: 779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.12 : 1,509.54 = 519.49 : x
  2. Step 2: Convert to fraction form
    1,006.12/1,509.54 = 519.49/x
  3. Step 3: Cross multiply
    1,006.12x = 1,509.54 × 519.49
  4. Step 4: Simplify right side
    1,006.12x = 784,190.93
  5. Step 5: Solve for x
    x = 784,190.93/1,006.12
  6. Step 6: Final answer
    x = 779.42

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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.