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Finding the Fourth Proportional to 1,220.94, 1,833.17 and 628.36

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Solution

The fourth proportional to 1,220.94, 1,833.17 and 628.36 is: 943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.94 : 1,833.17 = 628.36 : x
  2. Step 2: Convert to fraction form
    1,220.94/1,833.17 = 628.36/x
  3. Step 3: Cross multiply
    1,220.94x = 1,833.17 × 628.36
  4. Step 4: Simplify right side
    1,220.94x = 1,151,882.98
  5. Step 5: Solve for x
    x = 1,151,882.98/1,220.94
  6. Step 6: Final answer
    x = 943.44

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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.