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Finding the Fourth Proportional to 730.26, 1,006.34 and 467.82

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Solution

The fourth proportional to 730.26, 1,006.34 and 467.82 is: 644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.26 : 1,006.34 = 467.82 : x
  2. Step 2: Convert to fraction form
    730.26/1,006.34 = 467.82/x
  3. Step 3: Cross multiply
    730.26x = 1,006.34 × 467.82
  4. Step 4: Simplify right side
    730.26x = 470,785.98
  5. Step 5: Solve for x
    x = 470,785.98/730.26
  6. Step 6: Final answer
    x = 644.68

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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.