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Finding the Fourth Proportional to 726.46, 1,002.54 and 394.91

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Solution

The fourth proportional to 726.46, 1,002.54 and 394.91 is: 544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.46 : 1,002.54 = 394.91 : x
  2. Step 2: Convert to fraction form
    726.46/1,002.54 = 394.91/x
  3. Step 3: Cross multiply
    726.46x = 1,002.54 × 394.91
  4. Step 4: Simplify right side
    726.46x = 395,915.58
  5. Step 5: Solve for x
    x = 395,915.58/726.46
  6. Step 6: Final answer
    x = 544.99

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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.