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Finding the Fourth Proportional to 717.57, 1,076.43 and 284.63

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Solution

The fourth proportional to 717.57, 1,076.43 and 284.63 is: 426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.57 : 1,076.43 = 284.63 : x
  2. Step 2: Convert to fraction form
    717.57/1,076.43 = 284.63/x
  3. Step 3: Cross multiply
    717.57x = 1,076.43 × 284.63
  4. Step 4: Simplify right side
    717.57x = 306,384.27
  5. Step 5: Solve for x
    x = 306,384.27/717.57
  6. Step 6: Final answer
    x = 426.97

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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.