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Finding the Fourth Proportional to 717.72, 1,076.43 and 322.44

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Solution

The fourth proportional to 717.72, 1,076.43 and 322.44 is: 483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.72 : 1,076.43 = 322.44 : x
  2. Step 2: Convert to fraction form
    717.72/1,076.43 = 322.44/x
  3. Step 3: Cross multiply
    717.72x = 1,076.43 × 322.44
  4. Step 4: Simplify right side
    717.72x = 347,084.09
  5. Step 5: Solve for x
    x = 347,084.09/717.72
  6. Step 6: Final answer
    x = 483.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.