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Finding the Fourth Proportional to 729.55, 1,094.34 and 406.98

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Solution

The fourth proportional to 729.55, 1,094.34 and 406.98 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.55 : 1,094.34 = 406.98 : x
  2. Step 2: Convert to fraction form
    729.55/1,094.34 = 406.98/x
  3. Step 3: Cross multiply
    729.55x = 1,094.34 × 406.98
  4. Step 4: Simplify right side
    729.55x = 445,374.49
  5. Step 5: Solve for x
    x = 445,374.49/729.55
  6. Step 6: Final answer
    x = 610.48

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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.