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Finding the Fourth Proportional to 730, 1,095.16 and 274

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Solution

The fourth proportional to 730, 1,095.16 and 274 is: 411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    730 : 1,095.16 = 274 : x
  2. Step 2: Convert to fraction form
    730/1,095.16 = 274/x
  3. Step 3: Cross multiply
    730x = 1,095.16 × 274
  4. Step 4: Simplify right side
    730x = 300,073.84
  5. Step 5: Solve for x
    x = 300,073.84/730
  6. Step 6: Final answer
    x = 411.06

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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.