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Finding the Fourth Proportional to 720.22, 1,078.26 and 411.52

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Solution

The fourth proportional to 720.22, 1,078.26 and 411.52 is: 616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.22 : 1,078.26 = 411.52 : x
  2. Step 2: Convert to fraction form
    720.22/1,078.26 = 411.52/x
  3. Step 3: Cross multiply
    720.22x = 1,078.26 × 411.52
  4. Step 4: Simplify right side
    720.22x = 443,725.56
  5. Step 5: Solve for x
    x = 443,725.56/720.22
  6. Step 6: Final answer
    x = 616.10

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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.