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Finding the Fourth Proportional to 719.39, 1,078.92 and 257.20

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Solution

The fourth proportional to 719.39, 1,078.92 and 257.20 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.39 : 1,078.92 = 257.20 : x
  2. Step 2: Convert to fraction form
    719.39/1,078.92 = 257.20/x
  3. Step 3: Cross multiply
    719.39x = 1,078.92 × 257.20
  4. Step 4: Simplify right side
    719.39x = 277,496.01
  5. Step 5: Solve for x
    x = 277,496.01/719.39
  6. Step 6: Final answer
    x = 385.74

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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.