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Finding the Fourth Proportional to 729.85, 1,093.25 and 340.19

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Solution

The fourth proportional to 729.85, 1,093.25 and 340.19 is: 509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.85 : 1,093.25 = 340.19 : x
  2. Step 2: Convert to fraction form
    729.85/1,093.25 = 340.19/x
  3. Step 3: Cross multiply
    729.85x = 1,093.25 × 340.19
  4. Step 4: Simplify right side
    729.85x = 371,908.75
  5. Step 5: Solve for x
    x = 371,908.75/729.85
  6. Step 6: Final answer
    x = 509.57

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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.