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Finding the Fourth Proportional to 1,220.83, 1,827.66 and 757.12

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Solution

The fourth proportional to 1,220.83, 1,827.66 and 757.12 is: 1,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.83 : 1,827.66 = 757.12 : x
  2. Step 2: Convert to fraction form
    1,220.83/1,827.66 = 757.12/x
  3. Step 3: Cross multiply
    1,220.83x = 1,827.66 × 757.12
  4. Step 4: Simplify right side
    1,220.83x = 1,383,757.94
  5. Step 5: Solve for x
    x = 1,383,757.94/1,220.83
  6. Step 6: Final answer
    x = 1,133.46

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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.