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Finding the Fourth Proportional to 730.94, 1,096.78 and 320.08

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Solution

The fourth proportional to 730.94, 1,096.78 and 320.08 is: 480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.94 : 1,096.78 = 320.08 : x
  2. Step 2: Convert to fraction form
    730.94/1,096.78 = 320.08/x
  3. Step 3: Cross multiply
    730.94x = 1,096.78 × 320.08
  4. Step 4: Simplify right side
    730.94x = 351,057.34
  5. Step 5: Solve for x
    x = 351,057.34/730.94
  6. Step 6: Final answer
    x = 480.28

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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.