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Finding the Fourth Proportional to 1,200.88, 1,800 and 1,103.68

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Solution

The fourth proportional to 1,200.88, 1,800 and 1,103.68 is: 1,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.88 : 1,800 = 1,103.68 : x
  2. Step 2: Convert to fraction form
    1,200.88/1,800 = 1,103.68/x
  3. Step 3: Cross multiply
    1,200.88x = 1,800 × 1,103.68
  4. Step 4: Simplify right side
    1,200.88x = 1,986,624
  5. Step 5: Solve for x
    x = 1,986,624/1,200.88
  6. Step 6: Final answer
    x = 1,654.31

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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.