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Finding the Fourth Proportional to 729.88, 1,093.38 and 345.40

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Solution

The fourth proportional to 729.88, 1,093.38 and 345.40 is: 517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.88 : 1,093.38 = 345.40 : x
  2. Step 2: Convert to fraction form
    729.88/1,093.38 = 345.40/x
  3. Step 3: Cross multiply
    729.88x = 1,093.38 × 345.40
  4. Step 4: Simplify right side
    729.88x = 377,653.45
  5. Step 5: Solve for x
    x = 377,653.45/729.88
  6. Step 6: Final answer
    x = 517.42

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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.