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Finding the Fourth Proportional to 730.97, 1,096.50 and 360.97

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Solution

The fourth proportional to 730.97, 1,096.50 and 360.97 is: 541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.97 : 1,096.50 = 360.97 : x
  2. Step 2: Convert to fraction form
    730.97/1,096.50 = 360.97/x
  3. Step 3: Cross multiply
    730.97x = 1,096.50 × 360.97
  4. Step 4: Simplify right side
    730.97x = 395,802.22
  5. Step 5: Solve for x
    x = 395,802.22/730.97
  6. Step 6: Final answer
    x = 541.48

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1.5x scale

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.