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Finding the Fourth Proportional to 717.35, 989.66 and 520.43

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Solution

The fourth proportional to 717.35, 989.66 and 520.43 is: 717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.35 : 989.66 = 520.43 : x
  2. Step 2: Convert to fraction form
    717.35/989.66 = 520.43/x
  3. Step 3: Cross multiply
    717.35x = 989.66 × 520.43
  4. Step 4: Simplify right side
    717.35x = 515,046.15
  5. Step 5: Solve for x
    x = 515,046.15/717.35
  6. Step 6: Final answer
    x = 717.98

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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.