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Finding the Fourth Proportional to 730.75, 1,096.64 and 297.91

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Solution

The fourth proportional to 730.75, 1,096.64 and 297.91 is: 447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.75 : 1,096.64 = 297.91 : x
  2. Step 2: Convert to fraction form
    730.75/1,096.64 = 297.91/x
  3. Step 3: Cross multiply
    730.75x = 1,096.64 × 297.91
  4. Step 4: Simplify right side
    730.75x = 326,700.02
  5. Step 5: Solve for x
    x = 326,700.02/730.75
  6. Step 6: Final answer
    x = 447.07

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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.