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Finding the Fourth Proportional to 730.49, 1,096.27 and 548.37

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Solution

The fourth proportional to 730.49, 1,096.27 and 548.37 is: 822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.49 : 1,096.27 = 548.37 : x
  2. Step 2: Convert to fraction form
    730.49/1,096.27 = 548.37/x
  3. Step 3: Cross multiply
    730.49x = 1,096.27 × 548.37
  4. Step 4: Simplify right side
    730.49x = 601,160.21
  5. Step 5: Solve for x
    x = 601,160.21/730.49
  6. Step 6: Final answer
    x = 822.96

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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.