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Finding the Fourth Proportional to 717.76, 1,076.49 and 284.92

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Solution

The fourth proportional to 717.76, 1,076.49 and 284.92 is: 427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.76 : 1,076.49 = 284.92 : x
  2. Step 2: Convert to fraction form
    717.76/1,076.49 = 284.92/x
  3. Step 3: Cross multiply
    717.76x = 1,076.49 × 284.92
  4. Step 4: Simplify right side
    717.76x = 306,710.84
  5. Step 5: Solve for x
    x = 306,710.84/717.76
  6. Step 6: Final answer
    x = 427.32

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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.