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Finding the Fourth Proportional to 719.34, 1,079.19 and 232.42

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Solution

The fourth proportional to 719.34, 1,079.19 and 232.42 is: 348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.34 : 1,079.19 = 232.42 : x
  2. Step 2: Convert to fraction form
    719.34/1,079.19 = 232.42/x
  3. Step 3: Cross multiply
    719.34x = 1,079.19 × 232.42
  4. Step 4: Simplify right side
    719.34x = 250,825.34
  5. Step 5: Solve for x
    x = 250,825.34/719.34
  6. Step 6: Final answer
    x = 348.69

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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.