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Finding the Fourth Proportional to 1,164.70, 1,747.05 and 548.41

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Solution

The fourth proportional to 1,164.70, 1,747.05 and 548.41 is: 822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.70 : 1,747.05 = 548.41 : x
  2. Step 2: Convert to fraction form
    1,164.70/1,747.05 = 548.41/x
  3. Step 3: Cross multiply
    1,164.70x = 1,747.05 × 548.41
  4. Step 4: Simplify right side
    1,164.70x = 958,090.96
  5. Step 5: Solve for x
    x = 958,090.96/1,164.70
  6. Step 6: Final answer
    x = 822.61

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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.