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Finding the Fourth Proportional to 729.24, 1,093.88 and 406.66

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Solution

The fourth proportional to 729.24, 1,093.88 and 406.66 is: 610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.24 : 1,093.88 = 406.66 : x
  2. Step 2: Convert to fraction form
    729.24/1,093.88 = 406.66/x
  3. Step 3: Cross multiply
    729.24x = 1,093.88 × 406.66
  4. Step 4: Simplify right side
    729.24x = 444,835.21
  5. Step 5: Solve for x
    x = 444,835.21/729.24
  6. Step 6: Final answer
    x = 610.00

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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.