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Finding the Fourth Proportional to 729.79, 1,005.75 and 519.97

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Solution

The fourth proportional to 729.79, 1,005.75 and 519.97 is: 716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.79 : 1,005.75 = 519.97 : x
  2. Step 2: Convert to fraction form
    729.79/1,005.75 = 519.97/x
  3. Step 3: Cross multiply
    729.79x = 1,005.75 × 519.97
  4. Step 4: Simplify right side
    729.79x = 522,959.83
  5. Step 5: Solve for x
    x = 522,959.83/729.79
  6. Step 6: Final answer
    x = 716.59

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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.