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Finding the Fourth Proportional to 729, 1,093.50 and 216

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Solution

The fourth proportional to 729, 1,093.50 and 216 is: 324

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 1,093.50 = 216 : x
  2. Step 2: Convert to fraction form
    729/1,093.50 = 216/x
  3. Step 3: Cross multiply
    729x = 1,093.50 × 216
  4. Step 4: Simplify right side
    729x = 236,196
  5. Step 5: Solve for x
    x = 236,196/729
  6. Step 6: Final answer
    x = 324

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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.