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Finding the Fourth Proportional to 730.10, 1,006.44 and 519.56

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Solution

The fourth proportional to 730.10, 1,006.44 and 519.56 is: 716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.10 : 1,006.44 = 519.56 : x
  2. Step 2: Convert to fraction form
    730.10/1,006.44 = 519.56/x
  3. Step 3: Cross multiply
    730.10x = 1,006.44 × 519.56
  4. Step 4: Simplify right side
    730.10x = 522,905.97
  5. Step 5: Solve for x
    x = 522,905.97/730.10
  6. Step 6: Final answer
    x = 716.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.