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Finding the Fourth Proportional to 1,288.62, 1,933.12 and 548.22

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Solution

The fourth proportional to 1,288.62, 1,933.12 and 548.22 is: 822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.62 : 1,933.12 = 548.22 : x
  2. Step 2: Convert to fraction form
    1,288.62/1,933.12 = 548.22/x
  3. Step 3: Cross multiply
    1,288.62x = 1,933.12 × 548.22
  4. Step 4: Simplify right side
    1,288.62x = 1,059,782.98
  5. Step 5: Solve for x
    x = 1,059,782.98/1,288.62
  6. Step 6: Final answer
    x = 822.42

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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.