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Finding the Fourth Proportional to 719.67, 1,079.73 and 257.44

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Solution

The fourth proportional to 719.67, 1,079.73 and 257.44 is: 386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.67 : 1,079.73 = 257.44 : x
  2. Step 2: Convert to fraction form
    719.67/1,079.73 = 257.44/x
  3. Step 3: Cross multiply
    719.67x = 1,079.73 × 257.44
  4. Step 4: Simplify right side
    719.67x = 277,959.01
  5. Step 5: Solve for x
    x = 277,959.01/719.67
  6. Step 6: Final answer
    x = 386.23

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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.