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Finding the Fourth Proportional to 729, 1,093.50 and 273

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Solution

The fourth proportional to 729, 1,093.50 and 273 is: 409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 1,093.50 = 273 : x
  2. Step 2: Convert to fraction form
    729/1,093.50 = 273/x
  3. Step 3: Cross multiply
    729x = 1,093.50 × 273
  4. Step 4: Simplify right side
    729x = 298,525.50
  5. Step 5: Solve for x
    x = 298,525.50/729
  6. Step 6: Final answer
    x = 409.50

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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.