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Finding the Fourth Proportional to 1,198.94, 1,798.58 and 419.02

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Solution

The fourth proportional to 1,198.94, 1,798.58 and 419.02 is: 628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.94 : 1,798.58 = 419.02 : x
  2. Step 2: Convert to fraction form
    1,198.94/1,798.58 = 419.02/x
  3. Step 3: Cross multiply
    1,198.94x = 1,798.58 × 419.02
  4. Step 4: Simplify right side
    1,198.94x = 753,646.48
  5. Step 5: Solve for x
    x = 753,646.48/1,198.94
  6. Step 6: Final answer
    x = 628.59

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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.