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Finding the Fourth Proportional to 717.84, 1,076.68 and 255.60

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Solution

The fourth proportional to 717.84, 1,076.68 and 255.60 is: 383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.84 : 1,076.68 = 255.60 : x
  2. Step 2: Convert to fraction form
    717.84/1,076.68 = 255.60/x
  3. Step 3: Cross multiply
    717.84x = 1,076.68 × 255.60
  4. Step 4: Simplify right side
    717.84x = 275,199.41
  5. Step 5: Solve for x
    x = 275,199.41/717.84
  6. Step 6: Final answer
    x = 383.37

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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.