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Finding the Fourth Proportional to 717.39, 1,076.19 and 284.43

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Solution

The fourth proportional to 717.39, 1,076.19 and 284.43 is: 426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.39 : 1,076.19 = 284.43 : x
  2. Step 2: Convert to fraction form
    717.39/1,076.19 = 284.43/x
  3. Step 3: Cross multiply
    717.39x = 1,076.19 × 284.43
  4. Step 4: Simplify right side
    717.39x = 306,100.72
  5. Step 5: Solve for x
    x = 306,100.72/717.39
  6. Step 6: Final answer
    x = 426.69

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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.