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Finding the Fourth Proportional to 672.80, 1,006.67 and 467.76

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Solution

The fourth proportional to 672.80, 1,006.67 and 467.76 is: 699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.80 : 1,006.67 = 467.76 : x
  2. Step 2: Convert to fraction form
    672.80/1,006.67 = 467.76/x
  3. Step 3: Cross multiply
    672.80x = 1,006.67 × 467.76
  4. Step 4: Simplify right side
    672.80x = 470,879.96
  5. Step 5: Solve for x
    x = 470,879.96/672.80
  6. Step 6: Final answer
    x = 699.88

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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.