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Finding the Fourth Proportional to 717.49, 989.85 and 455.66

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Solution

The fourth proportional to 717.49, 989.85 and 455.66 is: 628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.49 : 989.85 = 455.66 : x
  2. Step 2: Convert to fraction form
    717.49/989.85 = 455.66/x
  3. Step 3: Cross multiply
    717.49x = 989.85 × 455.66
  4. Step 4: Simplify right side
    717.49x = 451,035.52
  5. Step 5: Solve for x
    x = 451,035.52/717.49
  6. Step 6: Final answer
    x = 628.63

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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.