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Finding the Fourth Proportional to 1,220.92, 1,833.08 and 757.29

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Solution

The fourth proportional to 1,220.92, 1,833.08 and 757.29 is: 1,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.92 : 1,833.08 = 757.29 : x
  2. Step 2: Convert to fraction form
    1,220.92/1,833.08 = 757.29/x
  3. Step 3: Cross multiply
    1,220.92x = 1,833.08 × 757.29
  4. Step 4: Simplify right side
    1,220.92x = 1,388,180.50
  5. Step 5: Solve for x
    x = 1,388,180.50/1,220.92
  6. Step 6: Final answer
    x = 1,137.00

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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.