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Finding the Fourth Proportional to 729.84, 1,093.80 and 297.32

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Solution

The fourth proportional to 729.84, 1,093.80 and 297.32 is: 445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.84 : 1,093.80 = 297.32 : x
  2. Step 2: Convert to fraction form
    729.84/1,093.80 = 297.32/x
  3. Step 3: Cross multiply
    729.84x = 1,093.80 × 297.32
  4. Step 4: Simplify right side
    729.84x = 325,208.62
  5. Step 5: Solve for x
    x = 325,208.62/729.84
  6. Step 6: Final answer
    x = 445.59

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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.