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Finding the Fourth Proportional to 1,548.45, 2,321.73 and 573.75

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Solution

The fourth proportional to 1,548.45, 2,321.73 and 573.75 is: 860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.45 : 2,321.73 = 573.75 : x
  2. Step 2: Convert to fraction form
    1,548.45/2,321.73 = 573.75/x
  3. Step 3: Cross multiply
    1,548.45x = 2,321.73 × 573.75
  4. Step 4: Simplify right side
    1,548.45x = 1,332,092.59
  5. Step 5: Solve for x
    x = 1,332,092.59/1,548.45
  6. Step 6: Final answer
    x = 860.27

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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.