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Finding the Fourth Proportional to 673.28, 1,010.78 and 519.31

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Solution

The fourth proportional to 673.28, 1,010.78 and 519.31 is: 779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.28 : 1,010.78 = 519.31 : x
  2. Step 2: Convert to fraction form
    673.28/1,010.78 = 519.31/x
  3. Step 3: Cross multiply
    673.28x = 1,010.78 × 519.31
  4. Step 4: Simplify right side
    673.28x = 524,908.78
  5. Step 5: Solve for x
    x = 524,908.78/673.28
  6. Step 6: Final answer
    x = 779.63

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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.