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Finding the Fourth Proportional to 1,198.12, 1,796.61 and 457.76

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Solution

The fourth proportional to 1,198.12, 1,796.61 and 457.76 is: 686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.12 : 1,796.61 = 457.76 : x
  2. Step 2: Convert to fraction form
    1,198.12/1,796.61 = 457.76/x
  3. Step 3: Cross multiply
    1,198.12x = 1,796.61 × 457.76
  4. Step 4: Simplify right side
    1,198.12x = 822,416.19
  5. Step 5: Solve for x
    x = 822,416.19/1,198.12
  6. Step 6: Final answer
    x = 686.42

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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.