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Finding the Fourth Proportional to 829.76, 1,144.94 and 519.26

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Solution

The fourth proportional to 829.76, 1,144.94 and 519.26 is: 716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.76 : 1,144.94 = 519.26 : x
  2. Step 2: Convert to fraction form
    829.76/1,144.94 = 519.26/x
  3. Step 3: Cross multiply
    829.76x = 1,144.94 × 519.26
  4. Step 4: Simplify right side
    829.76x = 594,521.54
  5. Step 5: Solve for x
    x = 594,521.54/829.76
  6. Step 6: Final answer
    x = 716.50

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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.