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Finding the Fourth Proportional to 730.88, 1,096.56 and 484.22

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Solution

The fourth proportional to 730.88, 1,096.56 and 484.22 is: 726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.88 : 1,096.56 = 484.22 : x
  2. Step 2: Convert to fraction form
    730.88/1,096.56 = 484.22/x
  3. Step 3: Cross multiply
    730.88x = 1,096.56 × 484.22
  4. Step 4: Simplify right side
    730.88x = 530,976.28
  5. Step 5: Solve for x
    x = 530,976.28/730.88
  6. Step 6: Final answer
    x = 726.49

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Double scale
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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.