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Finding the Fourth Proportional to 1,199.98, 1,799.54 and 419.82

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Solution

The fourth proportional to 1,199.98, 1,799.54 and 419.82 is: 629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.98 : 1,799.54 = 419.82 : x
  2. Step 2: Convert to fraction form
    1,199.98/1,799.54 = 419.82/x
  3. Step 3: Cross multiply
    1,199.98x = 1,799.54 × 419.82
  4. Step 4: Simplify right side
    1,199.98x = 755,482.88
  5. Step 5: Solve for x
    x = 755,482.88/1,199.98
  6. Step 6: Final answer
    x = 629.58

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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.