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Finding the Fourth Proportional to 672.69, 1,007.89 and 412.14

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Solution

The fourth proportional to 672.69, 1,007.89 and 412.14 is: 617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.69 : 1,007.89 = 412.14 : x
  2. Step 2: Convert to fraction form
    672.69/1,007.89 = 412.14/x
  3. Step 3: Cross multiply
    672.69x = 1,007.89 × 412.14
  4. Step 4: Simplify right side
    672.69x = 415,394.30
  5. Step 5: Solve for x
    x = 415,394.30/672.69
  6. Step 6: Final answer
    x = 617.51

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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.