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Finding the Fourth Proportional to 672.39, 1,007.37 and 411.75

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Solution

The fourth proportional to 672.39, 1,007.37 and 411.75 is: 616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.39 : 1,007.37 = 411.75 : x
  2. Step 2: Convert to fraction form
    672.39/1,007.37 = 411.75/x
  3. Step 3: Cross multiply
    672.39x = 1,007.37 × 411.75
  4. Step 4: Simplify right side
    672.39x = 414,784.60
  5. Step 5: Solve for x
    x = 414,784.60/672.39
  6. Step 6: Final answer
    x = 616.88

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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.