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Finding the Fourth Proportional to 672.33, 1,006.18 and 412.16

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Solution

The fourth proportional to 672.33, 1,006.18 and 412.16 is: 616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.33 : 1,006.18 = 412.16 : x
  2. Step 2: Convert to fraction form
    672.33/1,006.18 = 412.16/x
  3. Step 3: Cross multiply
    672.33x = 1,006.18 × 412.16
  4. Step 4: Simplify right side
    672.33x = 414,707.15
  5. Step 5: Solve for x
    x = 414,707.15/672.33
  6. Step 6: Final answer
    x = 616.82

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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.