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Finding the Fourth Proportional to 1,164.92, 1,747.42 and 548.46

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Solution

The fourth proportional to 1,164.92, 1,747.42 and 548.46 is: 822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.92 : 1,747.42 = 548.46 : x
  2. Step 2: Convert to fraction form
    1,164.92/1,747.42 = 548.46/x
  3. Step 3: Cross multiply
    1,164.92x = 1,747.42 × 548.46
  4. Step 4: Simplify right side
    1,164.92x = 958,389.97
  5. Step 5: Solve for x
    x = 958,389.97/1,164.92
  6. Step 6: Final answer
    x = 822.71

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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.