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Finding the Fourth Proportional to 729.43, 1,007.79 and 509.36

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Solution

The fourth proportional to 729.43, 1,007.79 and 509.36 is: 703.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.43 : 1,007.79 = 509.36 : x
  2. Step 2: Convert to fraction form
    729.43/1,007.79 = 509.36/x
  3. Step 3: Cross multiply
    729.43x = 1,007.79 × 509.36
  4. Step 4: Simplify right side
    729.43x = 513,320.33
  5. Step 5: Solve for x
    x = 513,320.33/729.43
  6. Step 6: Final answer
    x = 703.73

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