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Finding the Fourth Proportional to 1,221.08, 1,827.97 and 757.40

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Solution

The fourth proportional to 1,221.08, 1,827.97 and 757.40 is: 1,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.08 : 1,827.97 = 757.40 : x
  2. Step 2: Convert to fraction form
    1,221.08/1,827.97 = 757.40/x
  3. Step 3: Cross multiply
    1,221.08x = 1,827.97 × 757.40
  4. Step 4: Simplify right side
    1,221.08x = 1,384,503.73
  5. Step 5: Solve for x
    x = 1,384,503.73/1,221.08
  6. Step 6: Final answer
    x = 1,133.84

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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.