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Finding the Fourth Proportional to 726.40, 1,002.43 and 394.82

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Solution

The fourth proportional to 726.40, 1,002.43 and 394.82 is: 544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.40 : 1,002.43 = 394.82 : x
  2. Step 2: Convert to fraction form
    726.40/1,002.43 = 394.82/x
  3. Step 3: Cross multiply
    726.40x = 1,002.43 × 394.82
  4. Step 4: Simplify right side
    726.40x = 395,780.93
  5. Step 5: Solve for x
    x = 395,780.93/726.40
  6. Step 6: Final answer
    x = 544.85

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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.