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Finding the Fourth Proportional to 730.87, 1,096.26 and 183.02

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Solution

The fourth proportional to 730.87, 1,096.26 and 183.02 is: 274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.87 : 1,096.26 = 183.02 : x
  2. Step 2: Convert to fraction form
    730.87/1,096.26 = 183.02/x
  3. Step 3: Cross multiply
    730.87x = 1,096.26 × 183.02
  4. Step 4: Simplify right side
    730.87x = 200,632.02
  5. Step 5: Solve for x
    x = 200,632.02/730.87
  6. Step 6: Final answer
    x = 274.51

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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.