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Finding the Fourth Proportional to 717.43, 1,076.67 and 284.71

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Solution

The fourth proportional to 717.43, 1,076.67 and 284.71 is: 427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.43 : 1,076.67 = 284.71 : x
  2. Step 2: Convert to fraction form
    717.43/1,076.67 = 284.71/x
  3. Step 3: Cross multiply
    717.43x = 1,076.67 × 284.71
  4. Step 4: Simplify right side
    717.43x = 306,538.72
  5. Step 5: Solve for x
    x = 306,538.72/717.43
  6. Step 6: Final answer
    x = 427.27

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