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Finding the Fourth Proportional to 729.64, 1,006.62 and 467.80

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Solution

The fourth proportional to 729.64, 1,006.62 and 467.80 is: 645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.64 : 1,006.62 = 467.80 : x
  2. Step 2: Convert to fraction form
    729.64/1,006.62 = 467.80/x
  3. Step 3: Cross multiply
    729.64x = 1,006.62 × 467.80
  4. Step 4: Simplify right side
    729.64x = 470,896.84
  5. Step 5: Solve for x
    x = 470,896.84/729.64
  6. Step 6: Final answer
    x = 645.38

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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.