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Finding the Fourth Proportional to 719.55, 1,078.61 and 232.26

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Solution

The fourth proportional to 719.55, 1,078.61 and 232.26 is: 348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.55 : 1,078.61 = 232.26 : x
  2. Step 2: Convert to fraction form
    719.55/1,078.61 = 232.26/x
  3. Step 3: Cross multiply
    719.55x = 1,078.61 × 232.26
  4. Step 4: Simplify right side
    719.55x = 250,516.80
  5. Step 5: Solve for x
    x = 250,516.80/719.55
  6. Step 6: Final answer
    x = 348.16

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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.