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Finding the Fourth Proportional to 1,199.37, 1,800.09 and 469.46

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Solution

The fourth proportional to 1,199.37, 1,800.09 and 469.46 is: 704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.37 : 1,800.09 = 469.46 : x
  2. Step 2: Convert to fraction form
    1,199.37/1,800.09 = 469.46/x
  3. Step 3: Cross multiply
    1,199.37x = 1,800.09 × 469.46
  4. Step 4: Simplify right side
    1,199.37x = 845,074.75
  5. Step 5: Solve for x
    x = 845,074.75/1,199.37
  6. Step 6: Final answer
    x = 704.60

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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.