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Finding the Fourth Proportional to 1,200.25, 1,800.37 and 469.73

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Solution

The fourth proportional to 1,200.25, 1,800.37 and 469.73 is: 704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.25 : 1,800.37 = 469.73 : x
  2. Step 2: Convert to fraction form
    1,200.25/1,800.37 = 469.73/x
  3. Step 3: Cross multiply
    1,200.25x = 1,800.37 × 469.73
  4. Step 4: Simplify right side
    1,200.25x = 845,678.80
  5. Step 5: Solve for x
    x = 845,678.80/1,200.25
  6. Step 6: Final answer
    x = 704.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.