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Finding the Fourth Proportional to 719.41, 1,079.16 and 257.23

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Solution

The fourth proportional to 719.41, 1,079.16 and 257.23 is: 385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.41 : 1,079.16 = 257.23 : x
  2. Step 2: Convert to fraction form
    719.41/1,079.16 = 257.23/x
  3. Step 3: Cross multiply
    719.41x = 1,079.16 × 257.23
  4. Step 4: Simplify right side
    719.41x = 277,591.04
  5. Step 5: Solve for x
    x = 277,591.04/719.41
  6. Step 6: Final answer
    x = 385.86

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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.