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Finding the Fourth Proportional to 719.69, 1,078.49 and 411.64

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Solution

The fourth proportional to 719.69, 1,078.49 and 411.64 is: 616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.69 : 1,078.49 = 411.64 : x
  2. Step 2: Convert to fraction form
    719.69/1,078.49 = 411.64/x
  3. Step 3: Cross multiply
    719.69x = 1,078.49 × 411.64
  4. Step 4: Simplify right side
    719.69x = 443,947.96
  5. Step 5: Solve for x
    x = 443,947.96/719.69
  6. Step 6: Final answer
    x = 616.86

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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.