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Finding the Fourth Proportional to 672.12, 927.96 and 506.64

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Solution

The fourth proportional to 672.12, 927.96 and 506.64 is: 699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.12 : 927.96 = 506.64 : x
  2. Step 2: Convert to fraction form
    672.12/927.96 = 506.64/x
  3. Step 3: Cross multiply
    672.12x = 927.96 × 506.64
  4. Step 4: Simplify right side
    672.12x = 470,141.65
  5. Step 5: Solve for x
    x = 470,141.65/672.12
  6. Step 6: Final answer
    x = 699.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.