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Finding the Fourth Proportional to 1,199.74, 1,800.06 and 419.80

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Solution

The fourth proportional to 1,199.74, 1,800.06 and 419.80 is: 629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.74 : 1,800.06 = 419.80 : x
  2. Step 2: Convert to fraction form
    1,199.74/1,800.06 = 419.80/x
  3. Step 3: Cross multiply
    1,199.74x = 1,800.06 × 419.80
  4. Step 4: Simplify right side
    1,199.74x = 755,665.19
  5. Step 5: Solve for x
    x = 755,665.19/1,199.74
  6. Step 6: Final answer
    x = 629.86

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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.