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Finding the Fourth Proportional to 672.16, 1,007.04 and 412.03

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Solution

The fourth proportional to 672.16, 1,007.04 and 412.03 is: 617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.16 : 1,007.04 = 412.03 : x
  2. Step 2: Convert to fraction form
    672.16/1,007.04 = 412.03/x
  3. Step 3: Cross multiply
    672.16x = 1,007.04 × 412.03
  4. Step 4: Simplify right side
    672.16x = 414,930.69
  5. Step 5: Solve for x
    x = 414,930.69/672.16
  6. Step 6: Final answer
    x = 617.31

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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.